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Finding the Fourth Proportional to 180,295.64, 270,458.04 and 61,967.08

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Solution

The fourth proportional to 180,295.64, 270,458.04 and 61,967.08 is: 92,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,295.64 : 270,458.04 = 61,967.08 : x
  2. Step 2: Convert to fraction form
    180,295.64/270,458.04 = 61,967.08/x
  3. Step 3: Cross multiply
    180,295.64x = 270,458.04 × 61,967.08
  4. Step 4: Simplify right side
    180,295.64x = 16,759,495,001.32
  5. Step 5: Solve for x
    x = 16,759,495,001.32/180,295.64
  6. Step 6: Final answer
    x = 92,955.63

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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.