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Finding the Fourth Proportional to 255,664.69, 383,497.02 and 97,893.13

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Solution

The fourth proportional to 255,664.69, 383,497.02 and 97,893.13 is: 146,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,664.69 : 383,497.02 = 97,893.13 : x
  2. Step 2: Convert to fraction form
    255,664.69/383,497.02 = 97,893.13/x
  3. Step 3: Cross multiply
    255,664.69x = 383,497.02 × 97,893.13
  4. Step 4: Simplify right side
    255,664.69x = 37,541,723,633.47
  5. Step 5: Solve for x
    x = 37,541,723,633.47/255,664.69
  6. Step 6: Final answer
    x = 146,839.69

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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.