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Finding the Fourth Proportional to 185,870.10, 256,492.36 and 105,295.98

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Solution

The fourth proportional to 185,870.10, 256,492.36 and 105,295.98 is: 145,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,870.10 : 256,492.36 = 105,295.98 : x
  2. Step 2: Convert to fraction form
    185,870.10/256,492.36 = 105,295.98/x
  3. Step 3: Cross multiply
    185,870.10x = 256,492.36 × 105,295.98
  4. Step 4: Simplify right side
    185,870.10x = 27,007,614,408.71
  5. Step 5: Solve for x
    x = 27,007,614,408.71/185,870.10
  6. Step 6: Final answer
    x = 145,303.71

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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.