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Finding the Fourth Proportional to 289,223.38, 399,123.27 and 160,159.30

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Solution

The fourth proportional to 289,223.38, 399,123.27 and 160,159.30 is: 221,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,223.38 : 399,123.27 = 160,159.30 : x
  2. Step 2: Convert to fraction form
    289,223.38/399,123.27 = 160,159.30/x
  3. Step 3: Cross multiply
    289,223.38x = 399,123.27 × 160,159.30
  4. Step 4: Simplify right side
    289,223.38x = 63,923,302,637.61
  5. Step 5: Solve for x
    x = 63,923,302,637.61/289,223.38
  6. Step 6: Final answer
    x = 221,017.06

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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.