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Finding the Fourth Proportional to 157,262.32, 217,018.02 and 90,190

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Solution

The fourth proportional to 157,262.32, 217,018.02 and 90,190 is: 124,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,262.32 : 217,018.02 = 90,190 : x
  2. Step 2: Convert to fraction form
    157,262.32/217,018.02 = 90,190/x
  3. Step 3: Cross multiply
    157,262.32x = 217,018.02 × 90,190
  4. Step 4: Simplify right side
    157,262.32x = 19,572,855,223.80
  5. Step 5: Solve for x
    x = 19,572,855,223.80/157,262.32
  6. Step 6: Final answer
    x = 124,459.92

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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.