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Finding the Fourth Proportional to 229,356.61, 316,508.11 and 127,378.17

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Solution

The fourth proportional to 229,356.61, 316,508.11 and 127,378.17 is: 175,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,356.61 : 316,508.11 = 127,378.17 : x
  2. Step 2: Convert to fraction form
    229,356.61/316,508.11 = 127,378.17/x
  3. Step 3: Cross multiply
    229,356.61x = 316,508.11 × 127,378.17
  4. Step 4: Simplify right side
    229,356.61x = 40,316,223,523.51
  5. Step 5: Solve for x
    x = 40,316,223,523.51/229,356.61
  6. Step 6: Final answer
    x = 175,779.64

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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.