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Finding the Fourth Proportional to 130,307.42, 179,843.58 and 82,565.24

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Solution

The fourth proportional to 130,307.42, 179,843.58 and 82,565.24 is: 113,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,307.42 : 179,843.58 = 82,565.24 : x
  2. Step 2: Convert to fraction form
    130,307.42/179,843.58 = 82,565.24/x
  3. Step 3: Cross multiply
    130,307.42x = 179,843.58 × 82,565.24
  4. Step 4: Simplify right side
    130,307.42x = 14,848,828,345.16
  5. Step 5: Solve for x
    x = 14,848,828,345.16/130,307.42
  6. Step 6: Final answer
    x = 113,952.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.