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Finding the Fourth Proportional to 186,314, 257,178.12 and 110,860.88

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Solution

The fourth proportional to 186,314, 257,178.12 and 110,860.88 is: 153,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,314 : 257,178.12 = 110,860.88 : x
  2. Step 2: Convert to fraction form
    186,314/257,178.12 = 110,860.88/x
  3. Step 3: Cross multiply
    186,314x = 257,178.12 × 110,860.88
  4. Step 4: Simplify right side
    186,314x = 28,510,992,699.95
  5. Step 5: Solve for x
    x = 28,510,992,699.95/186,314
  6. Step 6: Final answer
    x = 153,026.57

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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.