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Finding the Fourth Proportional to 78,197.04, 117,293.92 and 19,033.04

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Solution

The fourth proportional to 78,197.04, 117,293.92 and 19,033.04 is: 28,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.04 : 117,293.92 = 19,033.04 : x
  2. Step 2: Convert to fraction form
    78,197.04/117,293.92 = 19,033.04/x
  3. Step 3: Cross multiply
    78,197.04x = 117,293.92 × 19,033.04
  4. Step 4: Simplify right side
    78,197.04x = 2,232,459,871.12
  5. Step 5: Solve for x
    x = 2,232,459,871.12/78,197.04
  6. Step 6: Final answer
    x = 28,549.16

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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.