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Finding the Fourth Proportional to 264,089.76, 364,490.48 and 156,719

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Solution

The fourth proportional to 264,089.76, 364,490.48 and 156,719 is: 216,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,089.76 : 364,490.48 = 156,719 : x
  2. Step 2: Convert to fraction form
    264,089.76/364,490.48 = 156,719/x
  3. Step 3: Cross multiply
    264,089.76x = 364,490.48 × 156,719
  4. Step 4: Simplify right side
    264,089.76x = 57,122,583,535.12
  5. Step 5: Solve for x
    x = 57,122,583,535.12/264,089.76
  6. Step 6: Final answer
    x = 216,299.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.