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Finding the Fourth Proportional to 147,511, 203,582.60 and 83,858.32

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Solution

The fourth proportional to 147,511, 203,582.60 and 83,858.32 is: 115,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,511 : 203,582.60 = 83,858.32 : x
  2. Step 2: Convert to fraction form
    147,511/203,582.60 = 83,858.32/x
  3. Step 3: Cross multiply
    147,511x = 203,582.60 × 83,858.32
  4. Step 4: Simplify right side
    147,511x = 17,072,094,817.23
  5. Step 5: Solve for x
    x = 17,072,094,817.23/147,511
  6. Step 6: Final answer
    x = 115,734.38

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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.