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Finding the Fourth Proportional to 157,831.60, 217,812.84 and 86,218.30

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Solution

The fourth proportional to 157,831.60, 217,812.84 and 86,218.30 is: 118,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831.60 : 217,812.84 = 86,218.30 : x
  2. Step 2: Convert to fraction form
    157,831.60/217,812.84 = 86,218.30/x
  3. Step 3: Cross multiply
    157,831.60x = 217,812.84 × 86,218.30
  4. Step 4: Simplify right side
    157,831.60x = 18,779,452,782.97
  5. Step 5: Solve for x
    x = 18,779,452,782.97/157,831.60
  6. Step 6: Final answer
    x = 118,984.11

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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.