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Finding the Fourth Proportional to 114,040.80, 170,866.80 and 97,322.40

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Solution

The fourth proportional to 114,040.80, 170,866.80 and 97,322.40 is: 145,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,040.80 : 170,866.80 = 97,322.40 : x
  2. Step 2: Convert to fraction form
    114,040.80/170,866.80 = 97,322.40/x
  3. Step 3: Cross multiply
    114,040.80x = 170,866.80 × 97,322.40
  4. Step 4: Simplify right side
    114,040.80x = 16,629,167,056.32
  5. Step 5: Solve for x
    x = 16,629,167,056.32/114,040.80
  6. Step 6: Final answer
    x = 145,817.70

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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.