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Finding the Fourth Proportional to 157,894.71, 218,040.18 and 101,404.50

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Solution

The fourth proportional to 157,894.71, 218,040.18 and 101,404.50 is: 140,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,894.71 : 218,040.18 = 101,404.50 : x
  2. Step 2: Convert to fraction form
    157,894.71/218,040.18 = 101,404.50/x
  3. Step 3: Cross multiply
    157,894.71x = 218,040.18 × 101,404.50
  4. Step 4: Simplify right side
    157,894.71x = 22,110,255,432.81
  5. Step 5: Solve for x
    x = 22,110,255,432.81/157,894.71
  6. Step 6: Final answer
    x = 140,031.64

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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.