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Finding the Fourth Proportional to 200,400.09, 300,802.71 and 177,752.46

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Solution

The fourth proportional to 200,400.09, 300,802.71 and 177,752.46 is: 266,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,400.09 : 300,802.71 = 177,752.46 : x
  2. Step 2: Convert to fraction form
    200,400.09/300,802.71 = 177,752.46/x
  3. Step 3: Cross multiply
    200,400.09x = 300,802.71 × 177,752.46
  4. Step 4: Simplify right side
    200,400.09x = 53,468,421,677.17
  5. Step 5: Solve for x
    x = 53,468,421,677.17/200,400.09
  6. Step 6: Final answer
    x = 266,808.37

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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.