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Finding the Fourth Proportional to 78,205.80, 117,307.60 and 19,041.60

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Solution

The fourth proportional to 78,205.80, 117,307.60 and 19,041.60 is: 28,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.80 : 117,307.60 = 19,041.60 : x
  2. Step 2: Convert to fraction form
    78,205.80/117,307.60 = 19,041.60/x
  3. Step 3: Cross multiply
    78,205.80x = 117,307.60 × 19,041.60
  4. Step 4: Simplify right side
    78,205.80x = 2,233,724,396.16
  5. Step 5: Solve for x
    x = 2,233,724,396.16/78,205.80
  6. Step 6: Final answer
    x = 28,562.13

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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.