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Finding the Fourth Proportional to 176,139.60, 264,209.40 and 57,782.40

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Solution

The fourth proportional to 176,139.60, 264,209.40 and 57,782.40 is: 86,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,139.60 : 264,209.40 = 57,782.40 : x
  2. Step 2: Convert to fraction form
    176,139.60/264,209.40 = 57,782.40/x
  3. Step 3: Cross multiply
    176,139.60x = 264,209.40 × 57,782.40
  4. Step 4: Simplify right side
    176,139.60x = 15,266,653,234.56
  5. Step 5: Solve for x
    x = 15,266,653,234.56/176,139.60
  6. Step 6: Final answer
    x = 86,673.60

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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.