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Finding the Fourth Proportional to 172,025, 257,971.14 and 66,830.12

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Solution

The fourth proportional to 172,025, 257,971.14 and 66,830.12 is: 100,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,025 : 257,971.14 = 66,830.12 : x
  2. Step 2: Convert to fraction form
    172,025/257,971.14 = 66,830.12/x
  3. Step 3: Cross multiply
    172,025x = 257,971.14 × 66,830.12
  4. Step 4: Simplify right side
    172,025x = 17,240,242,242.74
  5. Step 5: Solve for x
    x = 17,240,242,242.74/172,025
  6. Step 6: Final answer
    x = 100,219.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.