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Finding the Fourth Proportional to 292,642.16, 403,848.12 and 158,506.16

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Solution

The fourth proportional to 292,642.16, 403,848.12 and 158,506.16 is: 218,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,642.16 : 403,848.12 = 158,506.16 : x
  2. Step 2: Convert to fraction form
    292,642.16/403,848.12 = 158,506.16/x
  3. Step 3: Cross multiply
    292,642.16x = 403,848.12 × 158,506.16
  4. Step 4: Simplify right side
    292,642.16x = 64,012,414,724.42
  5. Step 5: Solve for x
    x = 64,012,414,724.42/292,642.16
  6. Step 6: Final answer
    x = 218,739.55

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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.