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Finding the Fourth Proportional to 119,323.16, 178,986.03 and 35,084.93

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Solution

The fourth proportional to 119,323.16, 178,986.03 and 35,084.93 is: 52,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,323.16 : 178,986.03 = 35,084.93 : x
  2. Step 2: Convert to fraction form
    119,323.16/178,986.03 = 35,084.93/x
  3. Step 3: Cross multiply
    119,323.16x = 178,986.03 × 35,084.93
  4. Step 4: Simplify right side
    119,323.16x = 6,279,711,438.60
  5. Step 5: Solve for x
    x = 6,279,711,438.60/119,323.16
  6. Step 6: Final answer
    x = 52,627.77

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Why These Related Problems?

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