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Finding the Fourth Proportional to 109,369.65, 164,068.16 and 42,801.19

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Solution

The fourth proportional to 109,369.65, 164,068.16 and 42,801.19 is: 64,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,369.65 : 164,068.16 = 42,801.19 : x
  2. Step 2: Convert to fraction form
    109,369.65/164,068.16 = 42,801.19/x
  3. Step 3: Cross multiply
    109,369.65x = 164,068.16 × 42,801.19
  4. Step 4: Simplify right side
    109,369.65x = 7,022,312,489.11
  5. Step 5: Solve for x
    x = 7,022,312,489.11/109,369.65
  6. Step 6: Final answer
    x = 64,207.14

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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.