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Finding the Fourth Proportional to 180,301.60, 270,452.40 and 97,357.60

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Solution

The fourth proportional to 180,301.60, 270,452.40 and 97,357.60 is: 146,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,301.60 : 270,452.40 = 97,357.60 : x
  2. Step 2: Convert to fraction form
    180,301.60/270,452.40 = 97,357.60/x
  3. Step 3: Cross multiply
    180,301.60x = 270,452.40 × 97,357.60
  4. Step 4: Simplify right side
    180,301.60x = 26,330,596,578.24
  5. Step 5: Solve for x
    x = 26,330,596,578.24/180,301.60
  6. Step 6: Final answer
    x = 146,036.40

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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.