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Finding the Fourth Proportional to 502,174.93, 753,268.51 and 147,196.12

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Solution

The fourth proportional to 502,174.93, 753,268.51 and 147,196.12 is: 220,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,174.93 : 753,268.51 = 147,196.12 : x
  2. Step 2: Convert to fraction form
    502,174.93/753,268.51 = 147,196.12/x
  3. Step 3: Cross multiply
    502,174.93x = 753,268.51 × 147,196.12
  4. Step 4: Simplify right side
    502,174.93x = 110,878,201,990.18
  5. Step 5: Solve for x
    x = 110,878,201,990.18/502,174.93
  6. Step 6: Final answer
    x = 220,795.97

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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.