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Finding the Fourth Proportional to 176,572, 243,669.40 and 97,084

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Solution

The fourth proportional to 176,572, 243,669.40 and 97,084 is: 133,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,572 : 243,669.40 = 97,084 : x
  2. Step 2: Convert to fraction form
    176,572/243,669.40 = 97,084/x
  3. Step 3: Cross multiply
    176,572x = 243,669.40 × 97,084
  4. Step 4: Simplify right side
    176,572x = 23,656,400,029.60
  5. Step 5: Solve for x
    x = 23,656,400,029.60/176,572
  6. Step 6: Final answer
    x = 133,975.94

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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.