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Finding the Fourth Proportional to 186,487.02, 257,345.24 and 101,602.26

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Solution

The fourth proportional to 186,487.02, 257,345.24 and 101,602.26 is: 140,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,487.02 : 257,345.24 = 101,602.26 : x
  2. Step 2: Convert to fraction form
    186,487.02/257,345.24 = 101,602.26/x
  3. Step 3: Cross multiply
    186,487.02x = 257,345.24 × 101,602.26
  4. Step 4: Simplify right side
    186,487.02x = 26,146,857,476.23
  5. Step 5: Solve for x
    x = 26,146,857,476.23/186,487.02
  6. Step 6: Final answer
    x = 140,207.39

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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.