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Finding the Fourth Proportional to 151,386, 227,074.68 and 46,189.68

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Solution

The fourth proportional to 151,386, 227,074.68 and 46,189.68 is: 69,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,386 : 227,074.68 = 46,189.68 : x
  2. Step 2: Convert to fraction form
    151,386/227,074.68 = 46,189.68/x
  3. Step 3: Cross multiply
    151,386x = 227,074.68 × 46,189.68
  4. Step 4: Simplify right side
    151,386x = 10,488,506,805.30
  5. Step 5: Solve for x
    x = 10,488,506,805.30/151,386
  6. Step 6: Final answer
    x = 69,283.20

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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.