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Finding the Fourth Proportional to 220,854.48, 304,779.12 and 120,252.48

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Solution

The fourth proportional to 220,854.48, 304,779.12 and 120,252.48 is: 165,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,854.48 : 304,779.12 = 120,252.48 : x
  2. Step 2: Convert to fraction form
    220,854.48/304,779.12 = 120,252.48/x
  3. Step 3: Cross multiply
    220,854.48x = 304,779.12 × 120,252.48
  4. Step 4: Simplify right side
    220,854.48x = 36,650,445,032.22
  5. Step 5: Solve for x
    x = 36,650,445,032.22/220,854.48
  6. Step 6: Final answer
    x = 165,948.39

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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.