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Finding the Fourth Proportional to 161,590.32, 242,443.76 and 56,424.80

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Solution

The fourth proportional to 161,590.32, 242,443.76 and 56,424.80 is: 84,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,590.32 : 242,443.76 = 56,424.80 : x
  2. Step 2: Convert to fraction form
    161,590.32/242,443.76 = 56,424.80/x
  3. Step 3: Cross multiply
    161,590.32x = 242,443.76 × 56,424.80
  4. Step 4: Simplify right side
    161,590.32x = 13,679,840,669.25
  5. Step 5: Solve for x
    x = 13,679,840,669.25/161,590.32
  6. Step 6: Final answer
    x = 84,657.55

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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.