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Finding the Fourth Proportional to 161,354.61, 242,000.01 and 153,353.22

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Solution

The fourth proportional to 161,354.61, 242,000.01 and 153,353.22 is: 229,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,354.61 : 242,000.01 = 153,353.22 : x
  2. Step 2: Convert to fraction form
    161,354.61/242,000.01 = 153,353.22/x
  3. Step 3: Cross multiply
    161,354.61x = 242,000.01 × 153,353.22
  4. Step 4: Simplify right side
    161,354.61x = 37,111,480,773.53
  5. Step 5: Solve for x
    x = 37,111,480,773.53/161,354.61
  6. Step 6: Final answer
    x = 229,999.51

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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.