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Finding the Fourth Proportional to 315,313, 435,141.12 and 172,082.20

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Solution

The fourth proportional to 315,313, 435,141.12 and 172,082.20 is: 237,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,313 : 435,141.12 = 172,082.20 : x
  2. Step 2: Convert to fraction form
    315,313/435,141.12 = 172,082.20/x
  3. Step 3: Cross multiply
    315,313x = 435,141.12 × 172,082.20
  4. Step 4: Simplify right side
    315,313x = 74,880,041,240.06
  5. Step 5: Solve for x
    x = 74,880,041,240.06/315,313
  6. Step 6: Final answer
    x = 237,478.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.