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Finding the Fourth Proportional to 161,352, 242,040.78 and 49,041.96

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Solution

The fourth proportional to 161,352, 242,040.78 and 49,041.96 is: 73,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,352 : 242,040.78 = 49,041.96 : x
  2. Step 2: Convert to fraction form
    161,352/242,040.78 = 49,041.96/x
  3. Step 3: Cross multiply
    161,352x = 242,040.78 × 49,041.96
  4. Step 4: Simplify right side
    161,352x = 11,870,154,251.13
  5. Step 5: Solve for x
    x = 11,870,154,251.13/161,352
  6. Step 6: Final answer
    x = 73,566.82

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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.