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Finding the Fourth Proportional to 229,543.58, 316,763.81 and 127,566.47

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Solution

The fourth proportional to 229,543.58, 316,763.81 and 127,566.47 is: 176,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,543.58 : 316,763.81 = 127,566.47 : x
  2. Step 2: Convert to fraction form
    229,543.58/316,763.81 = 127,566.47/x
  3. Step 3: Cross multiply
    229,543.58x = 316,763.81 × 127,566.47
  4. Step 4: Simplify right side
    229,543.58x = 40,408,438,843.80
  5. Step 5: Solve for x
    x = 40,408,438,843.80/229,543.58
  6. Step 6: Final answer
    x = 176,038.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.