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Finding the Fourth Proportional to 130,659.81, 195,790.98 and 59,541

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Solution

The fourth proportional to 130,659.81, 195,790.98 and 59,541 is: 89,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,659.81 : 195,790.98 = 59,541 : x
  2. Step 2: Convert to fraction form
    130,659.81/195,790.98 = 59,541/x
  3. Step 3: Cross multiply
    130,659.81x = 195,790.98 × 59,541
  4. Step 4: Simplify right side
    130,659.81x = 11,657,590,740.18
  5. Step 5: Solve for x
    x = 11,657,590,740.18/130,659.81
  6. Step 6: Final answer
    x = 89,220.94

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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.