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Finding the Fourth Proportional to 116,312.42, 160,528.80 and 71,016.80

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Solution

The fourth proportional to 116,312.42, 160,528.80 and 71,016.80 is: 98,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,312.42 : 160,528.80 = 71,016.80 : x
  2. Step 2: Convert to fraction form
    116,312.42/160,528.80 = 71,016.80/x
  3. Step 3: Cross multiply
    116,312.42x = 160,528.80 × 71,016.80
  4. Step 4: Simplify right side
    116,312.42x = 11,400,241,683.84
  5. Step 5: Solve for x
    x = 11,400,241,683.84/116,312.42
  6. Step 6: Final answer
    x = 98,013.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.