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Finding the Fourth Proportional to 316,822.02, 475,193.34 and 103,572.06

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Solution

The fourth proportional to 316,822.02, 475,193.34 and 103,572.06 is: 155,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,822.02 : 475,193.34 = 103,572.06 : x
  2. Step 2: Convert to fraction form
    316,822.02/475,193.34 = 103,572.06/x
  3. Step 3: Cross multiply
    316,822.02x = 475,193.34 × 103,572.06
  4. Step 4: Simplify right side
    316,822.02x = 49,216,753,122.08
  5. Step 5: Solve for x
    x = 49,216,753,122.08/316,822.02
  6. Step 6: Final answer
    x = 155,345.11

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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.