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Finding the Fourth Proportional to 172,492.84, 238,039.14 and 97,041.96

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Solution

The fourth proportional to 172,492.84, 238,039.14 and 97,041.96 is: 133,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,492.84 : 238,039.14 = 97,041.96 : x
  2. Step 2: Convert to fraction form
    172,492.84/238,039.14 = 97,041.96/x
  3. Step 3: Cross multiply
    172,492.84x = 238,039.14 × 97,041.96
  4. Step 4: Simplify right side
    172,492.84x = 23,099,784,702.31
  5. Step 5: Solve for x
    x = 23,099,784,702.31/172,492.84
  6. Step 6: Final answer
    x = 133,917.35

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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.