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Finding the Fourth Proportional to 153,254.32, 229,831.86 and 55,866.94

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Solution

The fourth proportional to 153,254.32, 229,831.86 and 55,866.94 is: 83,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,254.32 : 229,831.86 = 55,866.94 : x
  2. Step 2: Convert to fraction form
    153,254.32/229,831.86 = 55,866.94/x
  3. Step 3: Cross multiply
    153,254.32x = 229,831.86 × 55,866.94
  4. Step 4: Simplify right side
    153,254.32x = 12,840,002,732.71
  5. Step 5: Solve for x
    x = 12,840,002,732.71/153,254.32
  6. Step 6: Final answer
    x = 83,782.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.