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Finding the Fourth Proportional to 150,746.50, 208,032.60 and 83,678.50

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Solution

The fourth proportional to 150,746.50, 208,032.60 and 83,678.50 is: 115,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,746.50 : 208,032.60 = 83,678.50 : x
  2. Step 2: Convert to fraction form
    150,746.50/208,032.60 = 83,678.50/x
  3. Step 3: Cross multiply
    150,746.50x = 208,032.60 × 83,678.50
  4. Step 4: Simplify right side
    150,746.50x = 17,407,855,919.10
  5. Step 5: Solve for x
    x = 17,407,855,919.10/150,746.50
  6. Step 6: Final answer
    x = 115,477.68

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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.