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Finding the Fourth Proportional to 229,386.98, 316,543.77 and 127,419.47

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Solution

The fourth proportional to 229,386.98, 316,543.77 and 127,419.47 is: 175,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,386.98 : 316,543.77 = 127,419.47 : x
  2. Step 2: Convert to fraction form
    229,386.98/316,543.77 = 127,419.47/x
  3. Step 3: Cross multiply
    229,386.98x = 316,543.77 × 127,419.47
  4. Step 4: Simplify right side
    229,386.98x = 40,333,840,196.56
  5. Step 5: Solve for x
    x = 40,333,840,196.56/229,386.98
  6. Step 6: Final answer
    x = 175,833.17

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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.