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Finding the Fourth Proportional to 186,664.72, 257,598.48 and 101,783.20

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Solution

The fourth proportional to 186,664.72, 257,598.48 and 101,783.20 is: 140,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,664.72 : 257,598.48 = 101,783.20 : x
  2. Step 2: Convert to fraction form
    186,664.72/257,598.48 = 101,783.20/x
  3. Step 3: Cross multiply
    186,664.72x = 257,598.48 × 101,783.20
  4. Step 4: Simplify right side
    186,664.72x = 26,219,197,609.54
  5. Step 5: Solve for x
    x = 26,219,197,609.54/186,664.72
  6. Step 6: Final answer
    x = 140,461.45

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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.