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Finding the Fourth Proportional to 292,705.52, 403,933.08 and 158,569.52

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Solution

The fourth proportional to 292,705.52, 403,933.08 and 158,569.52 is: 218,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,705.52 : 403,933.08 = 158,569.52 : x
  2. Step 2: Convert to fraction form
    292,705.52/403,933.08 = 158,569.52/x
  3. Step 3: Cross multiply
    292,705.52x = 403,933.08 × 158,569.52
  4. Step 4: Simplify right side
    292,705.52x = 64,051,474,607.72
  5. Step 5: Solve for x
    x = 64,051,474,607.72/292,705.52
  6. Step 6: Final answer
    x = 218,825.65

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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.