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Finding the Fourth Proportional to 172,482, 238,025.10 and 97,030.50

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Solution

The fourth proportional to 172,482, 238,025.10 and 97,030.50 is: 133,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482 : 238,025.10 = 97,030.50 : x
  2. Step 2: Convert to fraction form
    172,482/238,025.10 = 97,030.50/x
  3. Step 3: Cross multiply
    172,482x = 238,025.10 × 97,030.50
  4. Step 4: Simplify right side
    172,482x = 23,095,694,465.55
  5. Step 5: Solve for x
    x = 23,095,694,465.55/172,482
  6. Step 6: Final answer
    x = 133,902.06

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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.