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Finding the Fourth Proportional to 229,291.74, 316,420.95 and 127,316.70

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Solution

The fourth proportional to 229,291.74, 316,420.95 and 127,316.70 is: 175,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,291.74 : 316,420.95 = 127,316.70 : x
  2. Step 2: Convert to fraction form
    229,291.74/316,420.95 = 127,316.70/x
  3. Step 3: Cross multiply
    229,291.74x = 316,420.95 × 127,316.70
  4. Step 4: Simplify right side
    229,291.74x = 40,285,671,164.87
  5. Step 5: Solve for x
    x = 40,285,671,164.87/229,291.74
  6. Step 6: Final answer
    x = 175,696.13

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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.