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Finding the Fourth Proportional to 97,415.90, 146,181.45 and 71,054.30

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Solution

The fourth proportional to 97,415.90, 146,181.45 and 71,054.30 is: 106,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,415.90 : 146,181.45 = 71,054.30 : x
  2. Step 2: Convert to fraction form
    97,415.90/146,181.45 = 71,054.30/x
  3. Step 3: Cross multiply
    97,415.90x = 146,181.45 × 71,054.30
  4. Step 4: Simplify right side
    97,415.90x = 10,386,820,602.74
  5. Step 5: Solve for x
    x = 10,386,820,602.74/97,415.90
  6. Step 6: Final answer
    x = 106,623.46

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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.