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Finding the Fourth Proportional to 224,394, 309,656.61 and 127,608.38

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Solution

The fourth proportional to 224,394, 309,656.61 and 127,608.38 is: 176,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,394 : 309,656.61 = 127,608.38 : x
  2. Step 2: Convert to fraction form
    224,394/309,656.61 = 127,608.38/x
  3. Step 3: Cross multiply
    224,394x = 309,656.61 × 127,608.38
  4. Step 4: Simplify right side
    224,394x = 39,514,776,810.11
  5. Step 5: Solve for x
    x = 39,514,776,810.11/224,394
  6. Step 6: Final answer
    x = 176,095.51

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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.