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Finding the Fourth Proportional to 151,093.57, 208,509.54 and 83,117.51

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Solution

The fourth proportional to 151,093.57, 208,509.54 and 83,117.51 is: 114,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,093.57 : 208,509.54 = 83,117.51 : x
  2. Step 2: Convert to fraction form
    151,093.57/208,509.54 = 83,117.51/x
  3. Step 3: Cross multiply
    151,093.57x = 208,509.54 × 83,117.51
  4. Step 4: Simplify right side
    151,093.57x = 17,330,793,671.25
  5. Step 5: Solve for x
    x = 17,330,793,671.25/151,093.57
  6. Step 6: Final answer
    x = 114,702.39

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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.