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Finding the Fourth Proportional to 130,536, 180,141.84 and 70,920

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Solution

The fourth proportional to 130,536, 180,141.84 and 70,920 is: 97,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,536 : 180,141.84 = 70,920 : x
  2. Step 2: Convert to fraction form
    130,536/180,141.84 = 70,920/x
  3. Step 3: Cross multiply
    130,536x = 180,141.84 × 70,920
  4. Step 4: Simplify right side
    130,536x = 12,775,659,292.80
  5. Step 5: Solve for x
    x = 12,775,659,292.80/130,536
  6. Step 6: Final answer
    x = 97,870.77

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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.