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Finding the Fourth Proportional to 209,758.34, 314,393.40 and 119,864.05

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Solution

The fourth proportional to 209,758.34, 314,393.40 and 119,864.05 is: 179,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,758.34 : 314,393.40 = 119,864.05 : x
  2. Step 2: Convert to fraction form
    209,758.34/314,393.40 = 119,864.05/x
  3. Step 3: Cross multiply
    209,758.34x = 314,393.40 × 119,864.05
  4. Step 4: Simplify right side
    209,758.34x = 37,684,467,199.75
  5. Step 5: Solve for x
    x = 37,684,467,199.75/209,758.34
  6. Step 6: Final answer
    x = 179,656.58

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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.