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Finding the Fourth Proportional to 180,271.60, 270,407.40 and 156,943.60

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Solution

The fourth proportional to 180,271.60, 270,407.40 and 156,943.60 is: 235,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,271.60 : 270,407.40 = 156,943.60 : x
  2. Step 2: Convert to fraction form
    180,271.60/270,407.40 = 156,943.60/x
  3. Step 3: Cross multiply
    180,271.60x = 270,407.40 × 156,943.60
  4. Step 4: Simplify right side
    180,271.60x = 42,438,710,822.64
  5. Step 5: Solve for x
    x = 42,438,710,822.64/180,271.60
  6. Step 6: Final answer
    x = 235,415.40

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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.