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Finding the Fourth Proportional to 130,836, 180,577.24 and 77,117.88

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Solution

The fourth proportional to 130,836, 180,577.24 and 77,117.88 is: 106,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,836 : 180,577.24 = 77,117.88 : x
  2. Step 2: Convert to fraction form
    130,836/180,577.24 = 77,117.88/x
  3. Step 3: Cross multiply
    130,836x = 180,577.24 × 77,117.88
  4. Step 4: Simplify right side
    130,836x = 13,925,733,925.05
  5. Step 5: Solve for x
    x = 13,925,733,925.05/130,836
  6. Step 6: Final answer
    x = 106,436.56

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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.