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Finding the Fourth Proportional to 174,830.40, 261,662.40 and 153,835.20

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Solution

The fourth proportional to 174,830.40, 261,662.40 and 153,835.20 is: 230,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,830.40 : 261,662.40 = 153,835.20 : x
  2. Step 2: Convert to fraction form
    174,830.40/261,662.40 = 153,835.20/x
  3. Step 3: Cross multiply
    174,830.40x = 261,662.40 × 153,835.20
  4. Step 4: Simplify right side
    174,830.40x = 40,252,887,636.48
  5. Step 5: Solve for x
    x = 40,252,887,636.48/174,830.40
  6. Step 6: Final answer
    x = 230,239.64

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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.