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Finding the Fourth Proportional to 229,460.56, 316,656.84 and 127,486.16

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Solution

The fourth proportional to 229,460.56, 316,656.84 and 127,486.16 is: 175,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,460.56 : 316,656.84 = 127,486.16 : x
  2. Step 2: Convert to fraction form
    229,460.56/316,656.84 = 127,486.16/x
  3. Step 3: Cross multiply
    229,460.56x = 316,656.84 × 127,486.16
  4. Step 4: Simplify right side
    229,460.56x = 40,369,364,569.33
  5. Step 5: Solve for x
    x = 40,369,364,569.33/229,460.56
  6. Step 6: Final answer
    x = 175,931.60

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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.