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Finding the Fourth Proportional to 171,110.40, 256,492.80 and 77,683.20

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Solution

The fourth proportional to 171,110.40, 256,492.80 and 77,683.20 is: 116,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,110.40 : 256,492.80 = 77,683.20 : x
  2. Step 2: Convert to fraction form
    171,110.40/256,492.80 = 77,683.20/x
  3. Step 3: Cross multiply
    171,110.40x = 256,492.80 × 77,683.20
  4. Step 4: Simplify right side
    171,110.40x = 19,925,181,480.96
  5. Step 5: Solve for x
    x = 19,925,181,480.96/171,110.40
  6. Step 6: Final answer
    x = 116,446.35

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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.