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Finding the Fourth Proportional to 210,094.74, 314,994.42 and 76,957.68

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Solution

The fourth proportional to 210,094.74, 314,994.42 and 76,957.68 is: 115,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,094.74 : 314,994.42 = 76,957.68 : x
  2. Step 2: Convert to fraction form
    210,094.74/314,994.42 = 76,957.68/x
  3. Step 3: Cross multiply
    210,094.74x = 314,994.42 × 76,957.68
  4. Step 4: Simplify right side
    210,094.74x = 24,241,239,776.15
  5. Step 5: Solve for x
    x = 24,241,239,776.15/210,094.74
  6. Step 6: Final answer
    x = 115,382.42

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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.