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Finding the Fourth Proportional to 180,456.08, 249,023.04 and 99,883.76

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Solution

The fourth proportional to 180,456.08, 249,023.04 and 99,883.76 is: 137,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,456.08 : 249,023.04 = 99,883.76 : x
  2. Step 2: Convert to fraction form
    180,456.08/249,023.04 = 99,883.76/x
  3. Step 3: Cross multiply
    180,456.08x = 249,023.04 × 99,883.76
  4. Step 4: Simplify right side
    180,456.08x = 24,873,357,561.83
  5. Step 5: Solve for x
    x = 24,873,357,561.83/180,456.08
  6. Step 6: Final answer
    x = 137,836.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.