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Finding the Fourth Proportional to 114,005.80, 170,814.30 and 97,287.40

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Solution

The fourth proportional to 114,005.80, 170,814.30 and 97,287.40 is: 145,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,005.80 : 170,814.30 = 97,287.40 : x
  2. Step 2: Convert to fraction form
    114,005.80/170,814.30 = 97,287.40/x
  3. Step 3: Cross multiply
    114,005.80x = 170,814.30 × 97,287.40
  4. Step 4: Simplify right side
    114,005.80x = 16,618,079,129.82
  5. Step 5: Solve for x
    x = 16,618,079,129.82/114,005.80
  6. Step 6: Final answer
    x = 145,765.21

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1.5x scale

Why These Related Problems?

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