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Finding the Fourth Proportional to 137,693.98, 190,016.94 and 77,264.56

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Solution

The fourth proportional to 137,693.98, 190,016.94 and 77,264.56 is: 106,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,693.98 : 190,016.94 = 77,264.56 : x
  2. Step 2: Convert to fraction form
    137,693.98/190,016.94 = 77,264.56/x
  3. Step 3: Cross multiply
    137,693.98x = 190,016.94 × 77,264.56
  4. Step 4: Simplify right side
    137,693.98x = 14,681,575,261.65
  5. Step 5: Solve for x
    x = 14,681,575,261.65/137,693.98
  6. Step 6: Final answer
    x = 106,624.67

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1.5x scale

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.