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Finding the Fourth Proportional to 292,652.96, 403,861.52 and 158,516.64

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Solution

The fourth proportional to 292,652.96, 403,861.52 and 158,516.64 is: 218,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,652.96 : 403,861.52 = 158,516.64 : x
  2. Step 2: Convert to fraction form
    292,652.96/403,861.52 = 158,516.64/x
  3. Step 3: Cross multiply
    292,652.96x = 403,861.52 × 158,516.64
  4. Step 4: Simplify right side
    292,652.96x = 64,018,771,175.69
  5. Step 5: Solve for x
    x = 64,018,771,175.69/292,652.96
  6. Step 6: Final answer
    x = 218,753.20

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Why These Related Problems?

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