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Finding the Fourth Proportional to 180,036.64, 270,084.24 and 55,377.76

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Solution

The fourth proportional to 180,036.64, 270,084.24 and 55,377.76 is: 83,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,036.64 : 270,084.24 = 55,377.76 : x
  2. Step 2: Convert to fraction form
    180,036.64/270,084.24 = 55,377.76/x
  3. Step 3: Cross multiply
    180,036.64x = 270,084.24 × 55,377.76
  4. Step 4: Simplify right side
    180,036.64x = 14,956,660,222.50
  5. Step 5: Solve for x
    x = 14,956,660,222.50/180,036.64
  6. Step 6: Final answer
    x = 83,075.65

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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.