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Finding the Fourth Proportional to 160,818.68, 221,784.54 and 100,394.93

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Solution

The fourth proportional to 160,818.68, 221,784.54 and 100,394.93 is: 138,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,818.68 : 221,784.54 = 100,394.93 : x
  2. Step 2: Convert to fraction form
    160,818.68/221,784.54 = 100,394.93/x
  3. Step 3: Cross multiply
    160,818.68x = 221,784.54 × 100,394.93
  4. Step 4: Simplify right side
    160,818.68x = 22,266,043,368.38
  5. Step 5: Solve for x
    x = 22,266,043,368.38/160,818.68
  6. Step 6: Final answer
    x = 138,454.33

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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.