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Finding the Fourth Proportional to 186,697.19, 280,046.80 and 46,455.82

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Solution

The fourth proportional to 186,697.19, 280,046.80 and 46,455.82 is: 69,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,697.19 : 280,046.80 = 46,455.82 : x
  2. Step 2: Convert to fraction form
    186,697.19/280,046.80 = 46,455.82/x
  3. Step 3: Cross multiply
    186,697.19x = 280,046.80 × 46,455.82
  4. Step 4: Simplify right side
    186,697.19x = 13,009,803,732.38
  5. Step 5: Solve for x
    x = 13,009,803,732.38/186,697.19
  6. Step 6: Final answer
    x = 69,683.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.