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Finding the Fourth Proportional to 209,700.74, 314,240.00 and 154,024.58

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Solution

The fourth proportional to 209,700.74, 314,240.00 and 154,024.58 is: 230,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,700.74 : 314,240.00 = 154,024.58 : x
  2. Step 2: Convert to fraction form
    209,700.74/314,240.00 = 154,024.58/x
  3. Step 3: Cross multiply
    209,700.74x = 314,240.00 × 154,024.58
  4. Step 4: Simplify right side
    209,700.74x = 48,400,681,677.88
  5. Step 5: Solve for x
    x = 48,400,681,677.88/209,700.74
  6. Step 6: Final answer
    x = 230,808.35

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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.