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Finding the Fourth Proportional to 292,437.84, 403,541.68 and 165,126

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Solution

The fourth proportional to 292,437.84, 403,541.68 and 165,126 is: 227,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,437.84 : 403,541.68 = 165,126 : x
  2. Step 2: Convert to fraction form
    292,437.84/403,541.68 = 165,126/x
  3. Step 3: Cross multiply
    292,437.84x = 403,541.68 × 165,126
  4. Step 4: Simplify right side
    292,437.84x = 66,635,223,451.68
  5. Step 5: Solve for x
    x = 66,635,223,451.68/292,437.84
  6. Step 6: Final answer
    x = 227,861.15

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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.