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Finding the Fourth Proportional to 194,151.80, 291,338.88 and 105,412.76

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Solution

The fourth proportional to 194,151.80, 291,338.88 and 105,412.76 is: 158,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,151.80 : 291,338.88 = 105,412.76 : x
  2. Step 2: Convert to fraction form
    194,151.80/291,338.88 = 105,412.76/x
  3. Step 3: Cross multiply
    194,151.80x = 291,338.88 × 105,412.76
  4. Step 4: Simplify right side
    194,151.80x = 30,710,835,436.11
  5. Step 5: Solve for x
    x = 30,710,835,436.11/194,151.80
  6. Step 6: Final answer
    x = 158,179.50

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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.