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Finding the Fourth Proportional to 292,065.90, 437,796.45 and 158,664.30

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Solution

The fourth proportional to 292,065.90, 437,796.45 and 158,664.30 is: 237,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,065.90 : 437,796.45 = 158,664.30 : x
  2. Step 2: Convert to fraction form
    292,065.90/437,796.45 = 158,664.30/x
  3. Step 3: Cross multiply
    292,065.90x = 437,796.45 × 158,664.30
  4. Step 4: Simplify right side
    292,065.90x = 69,462,667,281.74
  5. Step 5: Solve for x
    x = 69,462,667,281.74/292,065.90
  6. Step 6: Final answer
    x = 237,832.17

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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.