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Finding the Fourth Proportional to 255,111.84, 382,723.12 and 77,614.24

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Solution

The fourth proportional to 255,111.84, 382,723.12 and 77,614.24 is: 116,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,111.84 : 382,723.12 = 77,614.24 : x
  2. Step 2: Convert to fraction form
    255,111.84/382,723.12 = 77,614.24/x
  3. Step 3: Cross multiply
    255,111.84x = 382,723.12 × 77,614.24
  4. Step 4: Simplify right side
    255,111.84x = 29,704,764,089.23
  5. Step 5: Solve for x
    x = 29,704,764,089.23/255,111.84
  6. Step 6: Final answer
    x = 116,438.20

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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.