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Finding the Fourth Proportional to 143,670.69, 198,265.82 and 83,253

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Solution

The fourth proportional to 143,670.69, 198,265.82 and 83,253 is: 114,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,670.69 : 198,265.82 = 83,253 : x
  2. Step 2: Convert to fraction form
    143,670.69/198,265.82 = 83,253/x
  3. Step 3: Cross multiply
    143,670.69x = 198,265.82 × 83,253
  4. Step 4: Simplify right side
    143,670.69x = 16,506,224,312.46
  5. Step 5: Solve for x
    x = 16,506,224,312.46/143,670.69
  6. Step 6: Final answer
    x = 114,889.30

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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.