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Finding the Fourth Proportional to 151,475.58, 209,045.44 and 83,492.46

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Solution

The fourth proportional to 151,475.58, 209,045.44 and 83,492.46 is: 115,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,475.58 : 209,045.44 = 83,492.46 : x
  2. Step 2: Convert to fraction form
    151,475.58/209,045.44 = 83,492.46/x
  3. Step 3: Cross multiply
    151,475.58x = 209,045.44 × 83,492.46
  4. Step 4: Simplify right side
    151,475.58x = 17,453,718,037.38
  5. Step 5: Solve for x
    x = 17,453,718,037.38/151,475.58
  6. Step 6: Final answer
    x = 115,224.63

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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.