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Finding the Fourth Proportional to 153,162.64, 211,374.12 and 86,098.96

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Solution

The fourth proportional to 153,162.64, 211,374.12 and 86,098.96 is: 118,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,162.64 : 211,374.12 = 86,098.96 : x
  2. Step 2: Convert to fraction form
    153,162.64/211,374.12 = 86,098.96/x
  3. Step 3: Cross multiply
    153,162.64x = 211,374.12 × 86,098.96
  4. Step 4: Simplify right side
    153,162.64x = 18,199,091,902.92
  5. Step 5: Solve for x
    x = 18,199,091,902.92/153,162.64
  6. Step 6: Final answer
    x = 118,822.00

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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.