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Finding the Fourth Proportional to 229,047.81, 316,123.92 and 127,106.01

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Solution

The fourth proportional to 229,047.81, 316,123.92 and 127,106.01 is: 175,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,047.81 : 316,123.92 = 127,106.01 : x
  2. Step 2: Convert to fraction form
    229,047.81/316,123.92 = 127,106.01/x
  3. Step 3: Cross multiply
    229,047.81x = 316,123.92 × 127,106.01
  4. Step 4: Simplify right side
    229,047.81x = 40,181,251,082.36
  5. Step 5: Solve for x
    x = 40,181,251,082.36/229,047.81
  6. Step 6: Final answer
    x = 175,427.35

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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.