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Finding the Fourth Proportional to 145,124.10, 200,313 and 87,763.50

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Solution

The fourth proportional to 145,124.10, 200,313 and 87,763.50 is: 121,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,124.10 : 200,313 = 87,763.50 : x
  2. Step 2: Convert to fraction form
    145,124.10/200,313 = 87,763.50/x
  3. Step 3: Cross multiply
    145,124.10x = 200,313 × 87,763.50
  4. Step 4: Simplify right side
    145,124.10x = 17,580,169,975.50
  5. Step 5: Solve for x
    x = 17,580,169,975.50/145,124.10
  6. Step 6: Final answer
    x = 121,138.87

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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.