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Finding the Fourth Proportional to 157,205.68, 235,666.28 and 57,342.48

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Solution

The fourth proportional to 157,205.68, 235,666.28 and 57,342.48 is: 85,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.68 : 235,666.28 = 57,342.48 : x
  2. Step 2: Convert to fraction form
    157,205.68/235,666.28 = 57,342.48/x
  3. Step 3: Cross multiply
    157,205.68x = 235,666.28 × 57,342.48
  4. Step 4: Simplify right side
    157,205.68x = 13,513,688,947.57
  5. Step 5: Solve for x
    x = 13,513,688,947.57/157,205.68
  6. Step 6: Final answer
    x = 85,961.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.