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Finding the Fourth Proportional to 224,412.17, 309,707.28 and 127,646.33

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Solution

The fourth proportional to 224,412.17, 309,707.28 and 127,646.33 is: 176,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,412.17 : 309,707.28 = 127,646.33 : x
  2. Step 2: Convert to fraction form
    224,412.17/309,707.28 = 127,646.33/x
  3. Step 3: Cross multiply
    224,412.17x = 309,707.28 × 127,646.33
  4. Step 4: Simplify right side
    224,412.17x = 39,532,996,117.75
  5. Step 5: Solve for x
    x = 39,532,996,117.75/224,412.17
  6. Step 6: Final answer
    x = 176,162.45

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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.