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Finding the Fourth Proportional to 186,937.86, 257,972.92 and 102,054.92

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Solution

The fourth proportional to 186,937.86, 257,972.92 and 102,054.92 is: 140,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,937.86 : 257,972.92 = 102,054.92 : x
  2. Step 2: Convert to fraction form
    186,937.86/257,972.92 = 102,054.92/x
  3. Step 3: Cross multiply
    186,937.86x = 257,972.92 × 102,054.92
  4. Step 4: Simplify right side
    186,937.86x = 26,327,405,712.77
  5. Step 5: Solve for x
    x = 26,327,405,712.77/186,937.86
  6. Step 6: Final answer
    x = 140,835.07

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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.