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Finding the Fourth Proportional to 229,178.45, 316,261.49 and 127,197.92

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Solution

The fourth proportional to 229,178.45, 316,261.49 and 127,197.92 is: 175,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,178.45 : 316,261.49 = 127,197.92 : x
  2. Step 2: Convert to fraction form
    229,178.45/316,261.49 = 127,197.92/x
  3. Step 3: Cross multiply
    229,178.45x = 316,261.49 × 127,197.92
  4. Step 4: Simplify right side
    229,178.45x = 40,227,803,068.11
  5. Step 5: Solve for x
    x = 40,227,803,068.11/229,178.45
  6. Step 6: Final answer
    x = 175,530.48

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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.