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Finding the Fourth Proportional to 230,275.94, 345,460.47 and 97,156.52

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Solution

The fourth proportional to 230,275.94, 345,460.47 and 97,156.52 is: 145,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,275.94 : 345,460.47 = 97,156.52 : x
  2. Step 2: Convert to fraction form
    230,275.94/345,460.47 = 97,156.52/x
  3. Step 3: Cross multiply
    230,275.94x = 345,460.47 × 97,156.52
  4. Step 4: Simplify right side
    230,275.94x = 33,563,737,062.76
  5. Step 5: Solve for x
    x = 33,563,737,062.76/230,275.94
  6. Step 6: Final answer
    x = 145,754.42

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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.