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Finding the Fourth Proportional to 145,169, 217,767.24 and 56,429.36

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Solution

The fourth proportional to 145,169, 217,767.24 and 56,429.36 is: 84,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,169 : 217,767.24 = 56,429.36 : x
  2. Step 2: Convert to fraction form
    145,169/217,767.24 = 56,429.36/x
  3. Step 3: Cross multiply
    145,169x = 217,767.24 × 56,429.36
  4. Step 4: Simplify right side
    145,169x = 12,288,465,982.17
  5. Step 5: Solve for x
    x = 12,288,465,982.17/145,169
  6. Step 6: Final answer
    x = 84,649.38

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