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Finding the Fourth Proportional to 209,807.99, 314,711.66 and 97,426.77

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Solution

The fourth proportional to 209,807.99, 314,711.66 and 97,426.77 is: 146,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.99 : 314,711.66 = 97,426.77 : x
  2. Step 2: Convert to fraction form
    209,807.99/314,711.66 = 97,426.77/x
  3. Step 3: Cross multiply
    209,807.99x = 314,711.66 × 97,426.77
  4. Step 4: Simplify right side
    209,807.99x = 30,661,339,578.54
  5. Step 5: Solve for x
    x = 30,661,339,578.54/209,807.99
  6. Step 6: Final answer
    x = 146,140.00

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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.