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Finding the Fourth Proportional to 97,323.60, 145,985.40 and 27,202.80

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Solution

The fourth proportional to 97,323.60, 145,985.40 and 27,202.80 is: 40,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,323.60 : 145,985.40 = 27,202.80 : x
  2. Step 2: Convert to fraction form
    97,323.60/145,985.40 = 27,202.80/x
  3. Step 3: Cross multiply
    97,323.60x = 145,985.40 × 27,202.80
  4. Step 4: Simplify right side
    97,323.60x = 3,971,211,639.12
  5. Step 5: Solve for x
    x = 3,971,211,639.12/97,323.60
  6. Step 6: Final answer
    x = 40,804.20

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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.