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Finding the Fourth Proportional to 200,732.90, 277,014.95 and 110,088.07

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Solution

The fourth proportional to 200,732.90, 277,014.95 and 110,088.07 is: 151,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732.90 : 277,014.95 = 110,088.07 : x
  2. Step 2: Convert to fraction form
    200,732.90/277,014.95 = 110,088.07/x
  3. Step 3: Cross multiply
    200,732.90x = 277,014.95 × 110,088.07
  4. Step 4: Simplify right side
    200,732.90x = 30,496,041,206.65
  5. Step 5: Solve for x
    x = 30,496,041,206.65/200,732.90
  6. Step 6: Final answer
    x = 151,923.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.