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Finding the Fourth Proportional to 157,360, 217,158.96 and 90,292

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Solution

The fourth proportional to 157,360, 217,158.96 and 90,292 is: 124,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,360 : 217,158.96 = 90,292 : x
  2. Step 2: Convert to fraction form
    157,360/217,158.96 = 90,292/x
  3. Step 3: Cross multiply
    157,360x = 217,158.96 × 90,292
  4. Step 4: Simplify right side
    157,360x = 19,607,716,816.32
  5. Step 5: Solve for x
    x = 19,607,716,816.32/157,360
  6. Step 6: Final answer
    x = 124,604.20

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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.