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Finding the Fourth Proportional to 316,123.04, 474,433.83 and 138,752.48

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Solution

The fourth proportional to 316,123.04, 474,433.83 and 138,752.48 is: 208,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,123.04 : 474,433.83 = 138,752.48 : x
  2. Step 2: Convert to fraction form
    316,123.04/474,433.83 = 138,752.48/x
  3. Step 3: Cross multiply
    316,123.04x = 474,433.83 × 138,752.48
  4. Step 4: Simplify right side
    316,123.04x = 65,828,868,136.23
  5. Step 5: Solve for x
    x = 65,828,868,136.23/316,123.04
  6. Step 6: Final answer
    x = 208,238.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.