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Finding the Fourth Proportional to 152,675.85, 210,693.95 and 84,697.28

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Solution

The fourth proportional to 152,675.85, 210,693.95 and 84,697.28 is: 116,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,675.85 : 210,693.95 = 84,697.28 : x
  2. Step 2: Convert to fraction form
    152,675.85/210,693.95 = 84,697.28/x
  3. Step 3: Cross multiply
    152,675.85x = 210,693.95 × 84,697.28
  4. Step 4: Simplify right side
    152,675.85x = 17,845,203,000.50
  5. Step 5: Solve for x
    x = 17,845,203,000.50/152,675.85
  6. Step 6: Final answer
    x = 116,882.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.