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Finding the Fourth Proportional to 176,457, 243,510.66 and 96,969

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Solution

The fourth proportional to 176,457, 243,510.66 and 96,969 is: 133,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,457 : 243,510.66 = 96,969 : x
  2. Step 2: Convert to fraction form
    176,457/243,510.66 = 96,969/x
  3. Step 3: Cross multiply
    176,457x = 243,510.66 × 96,969
  4. Step 4: Simplify right side
    176,457x = 23,612,985,189.54
  5. Step 5: Solve for x
    x = 23,612,985,189.54/176,457
  6. Step 6: Final answer
    x = 133,817.22

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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.