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Finding the Fourth Proportional to 100,854.64, 151,298.37 and 29,784.46

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Solution

The fourth proportional to 100,854.64, 151,298.37 and 29,784.46 is: 44,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,854.64 : 151,298.37 = 29,784.46 : x
  2. Step 2: Convert to fraction form
    100,854.64/151,298.37 = 29,784.46/x
  3. Step 3: Cross multiply
    100,854.64x = 151,298.37 × 29,784.46
  4. Step 4: Simplify right side
    100,854.64x = 4,506,339,871.08
  5. Step 5: Solve for x
    x = 4,506,339,871.08/100,854.64
  6. Step 6: Final answer
    x = 44,681.53

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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.