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Finding the Fourth Proportional to 136,688.50, 205,123.88 and 52,518.16

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Solution

The fourth proportional to 136,688.50, 205,123.88 and 52,518.16 is: 78,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,688.50 : 205,123.88 = 52,518.16 : x
  2. Step 2: Convert to fraction form
    136,688.50/205,123.88 = 52,518.16/x
  3. Step 3: Cross multiply
    136,688.50x = 205,123.88 × 52,518.16
  4. Step 4: Simplify right side
    136,688.50x = 10,772,728,749.66
  5. Step 5: Solve for x
    x = 10,772,728,749.66/136,688.50
  6. Step 6: Final answer
    x = 78,812.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.