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Finding the Fourth Proportional to 105,460.80, 157,994.34 and 70,425.06

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Solution

The fourth proportional to 105,460.80, 157,994.34 and 70,425.06 is: 105,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,460.80 : 157,994.34 = 70,425.06 : x
  2. Step 2: Convert to fraction form
    105,460.80/157,994.34 = 70,425.06/x
  3. Step 3: Cross multiply
    105,460.80x = 157,994.34 × 70,425.06
  4. Step 4: Simplify right side
    105,460.80x = 11,126,760,874.16
  5. Step 5: Solve for x
    x = 11,126,760,874.16/105,460.80
  6. Step 6: Final answer
    x = 105,506.13

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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.