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Finding the Fourth Proportional to 175,636.38, 242,384.08 and 107,640.22

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Solution

The fourth proportional to 175,636.38, 242,384.08 and 107,640.22 is: 148,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,636.38 : 242,384.08 = 107,640.22 : x
  2. Step 2: Convert to fraction form
    175,636.38/242,384.08 = 107,640.22/x
  3. Step 3: Cross multiply
    175,636.38x = 242,384.08 × 107,640.22
  4. Step 4: Simplify right side
    175,636.38x = 26,090,275,695.70
  5. Step 5: Solve for x
    x = 26,090,275,695.70/175,636.38
  6. Step 6: Final answer
    x = 148,547.10

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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.