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Finding the Fourth Proportional to 157,205.96, 216,919.78 and 90,125

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Solution

The fourth proportional to 157,205.96, 216,919.78 and 90,125 is: 124,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,205.96 : 216,919.78 = 90,125 : x
  2. Step 2: Convert to fraction form
    157,205.96/216,919.78 = 90,125/x
  3. Step 3: Cross multiply
    157,205.96x = 216,919.78 × 90,125
  4. Step 4: Simplify right side
    157,205.96x = 19,549,895,172.50
  5. Step 5: Solve for x
    x = 19,549,895,172.50/157,205.96
  6. Step 6: Final answer
    x = 124,358.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.