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Finding the Fourth Proportional to 187,308, 258,486.12 and 120,240

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Solution

The fourth proportional to 187,308, 258,486.12 and 120,240 is: 165,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,308 : 258,486.12 = 120,240 : x
  2. Step 2: Convert to fraction form
    187,308/258,486.12 = 120,240/x
  3. Step 3: Cross multiply
    187,308x = 258,486.12 × 120,240
  4. Step 4: Simplify right side
    187,308x = 31,080,371,068.80
  5. Step 5: Solve for x
    x = 31,080,371,068.80/187,308
  6. Step 6: Final answer
    x = 165,931.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.