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Finding the Fourth Proportional to 97,205.60, 145,894.80 and 83,208.80

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Solution

The fourth proportional to 97,205.60, 145,894.80 and 83,208.80 is: 124,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205.60 : 145,894.80 = 83,208.80 : x
  2. Step 2: Convert to fraction form
    97,205.60/145,894.80 = 83,208.80/x
  3. Step 3: Cross multiply
    97,205.60x = 145,894.80 × 83,208.80
  4. Step 4: Simplify right side
    97,205.60x = 12,139,731,234.24
  5. Step 5: Solve for x
    x = 12,139,731,234.24/97,205.60
  6. Step 6: Final answer
    x = 124,887.16

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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.