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Finding the Fourth Proportional to 157,292.96, 235,742.40 and 123,881.06

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Solution

The fourth proportional to 157,292.96, 235,742.40 and 123,881.06 is: 185,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,292.96 : 235,742.40 = 123,881.06 : x
  2. Step 2: Convert to fraction form
    157,292.96/235,742.40 = 123,881.06/x
  3. Step 3: Cross multiply
    157,292.96x = 235,742.40 × 123,881.06
  4. Step 4: Simplify right side
    157,292.96x = 29,204,018,988.30
  5. Step 5: Solve for x
    x = 29,204,018,988.30/157,292.96
  6. Step 6: Final answer
    x = 185,666.41

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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.