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Finding the Fourth Proportional to 185,574.76, 278,113.98 and 96,641.56

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Solution

The fourth proportional to 185,574.76, 278,113.98 and 96,641.56 is: 144,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,574.76 : 278,113.98 = 96,641.56 : x
  2. Step 2: Convert to fraction form
    185,574.76/278,113.98 = 96,641.56/x
  3. Step 3: Cross multiply
    185,574.76x = 278,113.98 × 96,641.56
  4. Step 4: Simplify right side
    185,574.76x = 26,877,368,885.01
  5. Step 5: Solve for x
    x = 26,877,368,885.01/185,574.76
  6. Step 6: Final answer
    x = 144,833.11

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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.