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Finding the Fourth Proportional to 229,187.74, 316,274.16 and 127,207.24

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Solution

The fourth proportional to 229,187.74, 316,274.16 and 127,207.24 is: 175,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,187.74 : 316,274.16 = 127,207.24 : x
  2. Step 2: Convert to fraction form
    229,187.74/316,274.16 = 127,207.24/x
  3. Step 3: Cross multiply
    229,187.74x = 316,274.16 × 127,207.24
  4. Step 4: Simplify right side
    229,187.74x = 40,232,362,976.92
  5. Step 5: Solve for x
    x = 40,232,362,976.92/229,187.74
  6. Step 6: Final answer
    x = 175,543.26

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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.