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Finding the Fourth Proportional to 230,529.47, 345,711 and 97,420.01

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Solution

The fourth proportional to 230,529.47, 345,711 and 97,420.01 is: 146,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,529.47 : 345,711 = 97,420.01 : x
  2. Step 2: Convert to fraction form
    230,529.47/345,711 = 97,420.01/x
  3. Step 3: Cross multiply
    230,529.47x = 345,711 × 97,420.01
  4. Step 4: Simplify right side
    230,529.47x = 33,679,169,077.11
  5. Step 5: Solve for x
    x = 33,679,169,077.11/230,529.47
  6. Step 6: Final answer
    x = 146,094.85

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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.