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Finding the Fourth Proportional to 187,746, 259,089.48 and 102,865.02

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Solution

The fourth proportional to 187,746, 259,089.48 and 102,865.02 is: 141,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,746 : 259,089.48 = 102,865.02 : x
  2. Step 2: Convert to fraction form
    187,746/259,089.48 = 102,865.02/x
  3. Step 3: Cross multiply
    187,746x = 259,089.48 × 102,865.02
  4. Step 4: Simplify right side
    187,746x = 26,651,244,541.99
  5. Step 5: Solve for x
    x = 26,651,244,541.99/187,746
  6. Step 6: Final answer
    x = 141,953.73

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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.