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Finding the Fourth Proportional to 157,416.40, 236,124.60 and 101,429.20

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Solution

The fourth proportional to 157,416.40, 236,124.60 and 101,429.20 is: 152,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,416.40 : 236,124.60 = 101,429.20 : x
  2. Step 2: Convert to fraction form
    157,416.40/236,124.60 = 101,429.20/x
  3. Step 3: Cross multiply
    157,416.40x = 236,124.60 × 101,429.20
  4. Step 4: Simplify right side
    157,416.40x = 23,949,929,278.32
  5. Step 5: Solve for x
    x = 23,949,929,278.32/157,416.40
  6. Step 6: Final answer
    x = 152,143.80

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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.