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Finding the Fourth Proportional to 253,458.13, 349,748.47 and 151,463.28

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Solution

The fourth proportional to 253,458.13, 349,748.47 and 151,463.28 is: 209,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,458.13 : 349,748.47 = 151,463.28 : x
  2. Step 2: Convert to fraction form
    253,458.13/349,748.47 = 151,463.28/x
  3. Step 3: Cross multiply
    253,458.13x = 349,748.47 × 151,463.28
  4. Step 4: Simplify right side
    253,458.13x = 52,974,050,441.18
  5. Step 5: Solve for x
    x = 52,974,050,441.18/253,458.13
  6. Step 6: Final answer
    x = 209,005.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.