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Finding the Fourth Proportional to 142,783.84, 214,113.60 and 76,209.12

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Solution

The fourth proportional to 142,783.84, 214,113.60 and 76,209.12 is: 114,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,783.84 : 214,113.60 = 76,209.12 : x
  2. Step 2: Convert to fraction form
    142,783.84/214,113.60 = 76,209.12/x
  3. Step 3: Cross multiply
    142,783.84x = 214,113.60 × 76,209.12
  4. Step 4: Simplify right side
    142,783.84x = 16,317,409,036.03
  5. Step 5: Solve for x
    x = 16,317,409,036.03/142,783.84
  6. Step 6: Final answer
    x = 114,280.50

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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.