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Finding the Fourth Proportional to 132,284.34, 182,547.14 and 71,853.75

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Solution

The fourth proportional to 132,284.34, 182,547.14 and 71,853.75 is: 99,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,284.34 : 182,547.14 = 71,853.75 : x
  2. Step 2: Convert to fraction form
    132,284.34/182,547.14 = 71,853.75/x
  3. Step 3: Cross multiply
    132,284.34x = 182,547.14 × 71,853.75
  4. Step 4: Simplify right side
    132,284.34x = 13,116,696,201.51
  5. Step 5: Solve for x
    x = 13,116,696,201.51/132,284.34
  6. Step 6: Final answer
    x = 99,155.32

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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.