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Finding the Fourth Proportional to 187,524.88, 258,784.62 and 102,647.32

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Solution

The fourth proportional to 187,524.88, 258,784.62 and 102,647.32 is: 141,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,524.88 : 258,784.62 = 102,647.32 : x
  2. Step 2: Convert to fraction form
    187,524.88/258,784.62 = 102,647.32/x
  3. Step 3: Cross multiply
    187,524.88x = 258,784.62 × 102,647.32
  4. Step 4: Simplify right side
    187,524.88x = 26,563,547,700.22
  5. Step 5: Solve for x
    x = 26,563,547,700.22/187,524.88
  6. Step 6: Final answer
    x = 141,653.46

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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.