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Finding the Fourth Proportional to 229,287.66, 316,412.52 and 127,307.82

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Solution

The fourth proportional to 229,287.66, 316,412.52 and 127,307.82 is: 175,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,287.66 : 316,412.52 = 127,307.82 : x
  2. Step 2: Convert to fraction form
    229,287.66/316,412.52 = 127,307.82/x
  3. Step 3: Cross multiply
    229,287.66x = 316,412.52 × 127,307.82
  4. Step 4: Simplify right side
    229,287.66x = 40,281,788,141.91
  5. Step 5: Solve for x
    x = 40,281,788,141.91/229,287.66
  6. Step 6: Final answer
    x = 175,682.32

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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.