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Finding the Fourth Proportional to 169,378.66, 233,155.89 and 146,398.01

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Solution

The fourth proportional to 169,378.66, 233,155.89 and 146,398.01 is: 201,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378.66 : 233,155.89 = 146,398.01 : x
  2. Step 2: Convert to fraction form
    169,378.66/233,155.89 = 146,398.01/x
  3. Step 3: Cross multiply
    169,378.66x = 233,155.89 × 146,398.01
  4. Step 4: Simplify right side
    169,378.66x = 34,133,558,898.67
  5. Step 5: Solve for x
    x = 34,133,558,898.67/169,378.66
  6. Step 6: Final answer
    x = 201,522.20

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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.