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Finding the Fourth Proportional to 186,564.74, 257,443.06 and 103,762.88

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Solution

The fourth proportional to 186,564.74, 257,443.06 and 103,762.88 is: 143,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,564.74 : 257,443.06 = 103,762.88 : x
  2. Step 2: Convert to fraction form
    186,564.74/257,443.06 = 103,762.88/x
  3. Step 3: Cross multiply
    186,564.74x = 257,443.06 × 103,762.88
  4. Step 4: Simplify right side
    186,564.74x = 26,713,033,341.61
  5. Step 5: Solve for x
    x = 26,713,033,341.61/186,564.74
  6. Step 6: Final answer
    x = 143,183.72

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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.