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Finding the Fourth Proportional to 97,223.10, 145,867.05 and 86,771.10

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Solution

The fourth proportional to 97,223.10, 145,867.05 and 86,771.10 is: 130,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,223.10 : 145,867.05 = 86,771.10 : x
  2. Step 2: Convert to fraction form
    97,223.10/145,867.05 = 86,771.10/x
  3. Step 3: Cross multiply
    97,223.10x = 145,867.05 × 86,771.10
  4. Step 4: Simplify right side
    97,223.10x = 12,657,044,382.26
  5. Step 5: Solve for x
    x = 12,657,044,382.26/97,223.10
  6. Step 6: Final answer
    x = 130,185.57

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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.