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Finding the Fourth Proportional to 151,006.69, 208,389.36 and 83,024.83

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Solution

The fourth proportional to 151,006.69, 208,389.36 and 83,024.83 is: 114,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,006.69 : 208,389.36 = 83,024.83 : x
  2. Step 2: Convert to fraction form
    151,006.69/208,389.36 = 83,024.83/x
  3. Step 3: Cross multiply
    151,006.69x = 208,389.36 × 83,024.83
  4. Step 4: Simplify right side
    151,006.69x = 17,301,491,187.81
  5. Step 5: Solve for x
    x = 17,301,491,187.81/151,006.69
  6. Step 6: Final answer
    x = 114,574.34

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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.