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Finding the Fourth Proportional to 172,778.32, 258,831.22 and 97,671.26

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Solution

The fourth proportional to 172,778.32, 258,831.22 and 97,671.26 is: 146,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,778.32 : 258,831.22 = 97,671.26 : x
  2. Step 2: Convert to fraction form
    172,778.32/258,831.22 = 97,671.26/x
  3. Step 3: Cross multiply
    172,778.32x = 258,831.22 × 97,671.26
  4. Step 4: Simplify right side
    172,778.32x = 25,280,371,384.74
  5. Step 5: Solve for x
    x = 25,280,371,384.74/172,778.32
  6. Step 6: Final answer
    x = 146,316.80

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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.