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Finding the Fourth Proportional to 292,823, 404,095.74 and 158,687

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Solution

The fourth proportional to 292,823, 404,095.74 and 158,687 is: 218,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,823 : 404,095.74 = 158,687 : x
  2. Step 2: Convert to fraction form
    292,823/404,095.74 = 158,687/x
  3. Step 3: Cross multiply
    292,823x = 404,095.74 × 158,687
  4. Step 4: Simplify right side
    292,823x = 64,124,740,693.38
  5. Step 5: Solve for x
    x = 64,124,740,693.38/292,823
  6. Step 6: Final answer
    x = 218,988.06

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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.