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Finding the Fourth Proportional to 176,553, 243,643.14 and 97,065

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Solution

The fourth proportional to 176,553, 243,643.14 and 97,065 is: 133,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,553 : 243,643.14 = 97,065 : x
  2. Step 2: Convert to fraction form
    176,553/243,643.14 = 97,065/x
  3. Step 3: Cross multiply
    176,553x = 243,643.14 × 97,065
  4. Step 4: Simplify right side
    176,553x = 23,649,221,384.10
  5. Step 5: Solve for x
    x = 23,649,221,384.10/176,553
  6. Step 6: Final answer
    x = 133,949.70

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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.