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Finding the Fourth Proportional to 78,230.40, 117,345.60 and 61,641.60

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Solution

The fourth proportional to 78,230.40, 117,345.60 and 61,641.60 is: 92,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.40 : 117,345.60 = 61,641.60 : x
  2. Step 2: Convert to fraction form
    78,230.40/117,345.60 = 61,641.60/x
  3. Step 3: Cross multiply
    78,230.40x = 117,345.60 × 61,641.60
  4. Step 4: Simplify right side
    78,230.40x = 7,233,370,536.96
  5. Step 5: Solve for x
    x = 7,233,370,536.96/78,230.40
  6. Step 6: Final answer
    x = 92,462.40

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1.5x scale

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.