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Finding the Fourth Proportional to 230,216.94, 317,831.06 and 152,797.58

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Solution

The fourth proportional to 230,216.94, 317,831.06 and 152,797.58 is: 210,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216.94 : 317,831.06 = 152,797.58 : x
  2. Step 2: Convert to fraction form
    230,216.94/317,831.06 = 152,797.58/x
  3. Step 3: Cross multiply
    230,216.94x = 317,831.06 × 152,797.58
  4. Step 4: Simplify right side
    230,216.94x = 48,563,816,801.54
  5. Step 5: Solve for x
    x = 48,563,816,801.54/230,216.94
  6. Step 6: Final answer
    x = 210,948.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.