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Finding the Fourth Proportional to 116,856.90, 175,362.99 and 42,984.90

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Solution

The fourth proportional to 116,856.90, 175,362.99 and 42,984.90 is: 64,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,856.90 : 175,362.99 = 42,984.90 : x
  2. Step 2: Convert to fraction form
    116,856.90/175,362.99 = 42,984.90/x
  3. Step 3: Cross multiply
    116,856.90x = 175,362.99 × 42,984.90
  4. Step 4: Simplify right side
    116,856.90x = 7,537,960,588.85
  5. Step 5: Solve for x
    x = 7,537,960,588.85/116,856.90
  6. Step 6: Final answer
    x = 64,505.91

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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.