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Finding the Fourth Proportional to 98,342.94, 147,374.89 and 75,768.22

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Solution

The fourth proportional to 98,342.94, 147,374.89 and 75,768.22 is: 113,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,342.94 : 147,374.89 = 75,768.22 : x
  2. Step 2: Convert to fraction form
    98,342.94/147,374.89 = 75,768.22/x
  3. Step 3: Cross multiply
    98,342.94x = 147,374.89 × 75,768.22
  4. Step 4: Simplify right side
    98,342.94x = 11,166,333,088.00
  5. Step 5: Solve for x
    x = 11,166,333,088.00/98,342.94
  6. Step 6: Final answer
    x = 113,544.84

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1.5x scale

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.