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Finding the Fourth Proportional to 162,467.96, 243,706.13 and 77,058.86

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Solution

The fourth proportional to 162,467.96, 243,706.13 and 77,058.86 is: 115,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,467.96 : 243,706.13 = 77,058.86 : x
  2. Step 2: Convert to fraction form
    162,467.96/243,706.13 = 77,058.86/x
  3. Step 3: Cross multiply
    162,467.96x = 243,706.13 × 77,058.86
  4. Step 4: Simplify right side
    162,467.96x = 18,779,716,167.52
  5. Step 5: Solve for x
    x = 18,779,716,167.52/162,467.96
  6. Step 6: Final answer
    x = 115,590.27

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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.