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Finding the Fourth Proportional to 100,854.88, 151,298.74 and 29,784.71

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Solution

The fourth proportional to 100,854.88, 151,298.74 and 29,784.71 is: 44,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,854.88 : 151,298.74 = 29,784.71 : x
  2. Step 2: Convert to fraction form
    100,854.88/151,298.74 = 29,784.71/x
  3. Step 3: Cross multiply
    100,854.88x = 151,298.74 × 29,784.71
  4. Step 4: Simplify right side
    100,854.88x = 4,506,389,094.27
  5. Step 5: Solve for x
    x = 4,506,389,094.27/100,854.88
  6. Step 6: Final answer
    x = 44,681.91

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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.