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Finding the Fourth Proportional to 176,570, 243,666.64 and 97,082

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Solution

The fourth proportional to 176,570, 243,666.64 and 97,082 is: 133,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,570 : 243,666.64 = 97,082 : x
  2. Step 2: Convert to fraction form
    176,570/243,666.64 = 97,082/x
  3. Step 3: Cross multiply
    176,570x = 243,666.64 × 97,082
  4. Step 4: Simplify right side
    176,570x = 23,655,644,744.48
  5. Step 5: Solve for x
    x = 23,655,644,744.48/176,570
  6. Step 6: Final answer
    x = 133,973.18

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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.