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Finding the Fourth Proportional to 180,430.76, 270,646.14 and 55,771.76

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Solution

The fourth proportional to 180,430.76, 270,646.14 and 55,771.76 is: 83,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,430.76 : 270,646.14 = 55,771.76 : x
  2. Step 2: Convert to fraction form
    180,430.76/270,646.14 = 55,771.76/x
  3. Step 3: Cross multiply
    180,430.76x = 270,646.14 × 55,771.76
  4. Step 4: Simplify right side
    180,430.76x = 15,094,411,565.01
  5. Step 5: Solve for x
    x = 15,094,411,565.01/180,430.76
  6. Step 6: Final answer
    x = 83,657.64

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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.