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Finding the Fourth Proportional to 174,875.20, 262,831.20 and 152,065.60

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Solution

The fourth proportional to 174,875.20, 262,831.20 and 152,065.60 is: 228,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,875.20 : 262,831.20 = 152,065.60 : x
  2. Step 2: Convert to fraction form
    174,875.20/262,831.20 = 152,065.60/x
  3. Step 3: Cross multiply
    174,875.20x = 262,831.20 × 152,065.60
  4. Step 4: Simplify right side
    174,875.20x = 39,967,584,126.72
  5. Step 5: Solve for x
    x = 39,967,584,126.72/174,875.20
  6. Step 6: Final answer
    x = 228,549.18

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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.