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Finding the Fourth Proportional to 200,419.69, 276,510.52 and 114,316.80

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Solution

The fourth proportional to 200,419.69, 276,510.52 and 114,316.80 is: 157,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,419.69 : 276,510.52 = 114,316.80 : x
  2. Step 2: Convert to fraction form
    200,419.69/276,510.52 = 114,316.80/x
  3. Step 3: Cross multiply
    200,419.69x = 276,510.52 × 114,316.80
  4. Step 4: Simplify right side
    200,419.69x = 31,609,797,812.74
  5. Step 5: Solve for x
    x = 31,609,797,812.74/200,419.69
  6. Step 6: Final answer
    x = 157,718.03

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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.