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Finding the Fourth Proportional to 122,140.80, 182,802.96 and 69,536.16

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Solution

The fourth proportional to 122,140.80, 182,802.96 and 69,536.16 is: 104,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,140.80 : 182,802.96 = 69,536.16 : x
  2. Step 2: Convert to fraction form
    122,140.80/182,802.96 = 69,536.16/x
  3. Step 3: Cross multiply
    122,140.80x = 182,802.96 × 69,536.16
  4. Step 4: Simplify right side
    122,140.80x = 12,711,415,875.03
  5. Step 5: Solve for x
    x = 12,711,415,875.03/122,140.80
  6. Step 6: Final answer
    x = 104,071.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.