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Finding the Fourth Proportional to 145,302.34, 217,864.34 and 56,452.12

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Solution

The fourth proportional to 145,302.34, 217,864.34 and 56,452.12 is: 84,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,302.34 : 217,864.34 = 56,452.12 : x
  2. Step 2: Convert to fraction form
    145,302.34/217,864.34 = 56,452.12/x
  3. Step 3: Cross multiply
    145,302.34x = 217,864.34 × 56,452.12
  4. Step 4: Simplify right side
    145,302.34x = 12,298,902,776.08
  5. Step 5: Solve for x
    x = 12,298,902,776.08/145,302.34
  6. Step 6: Final answer
    x = 84,643.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.