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Finding the Fourth Proportional to 132,293.34, 182,580.75 and 75,703.50

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Solution

The fourth proportional to 132,293.34, 182,580.75 and 75,703.50 is: 104,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,293.34 : 182,580.75 = 75,703.50 : x
  2. Step 2: Convert to fraction form
    132,293.34/182,580.75 = 75,703.50/x
  3. Step 3: Cross multiply
    132,293.34x = 182,580.75 × 75,703.50
  4. Step 4: Simplify right side
    132,293.34x = 13,822,001,807.63
  5. Step 5: Solve for x
    x = 13,822,001,807.63/132,293.34
  6. Step 6: Final answer
    x = 104,479.95

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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.