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Finding the Fourth Proportional to 186,941.49, 280,412.84 and 46,700.11

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Solution

The fourth proportional to 186,941.49, 280,412.84 and 46,700.11 is: 70,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,941.49 : 280,412.84 = 46,700.11 : x
  2. Step 2: Convert to fraction form
    186,941.49/280,412.84 = 46,700.11/x
  3. Step 3: Cross multiply
    186,941.49x = 280,412.84 × 46,700.11
  4. Step 4: Simplify right side
    186,941.49x = 13,095,310,473.41
  5. Step 5: Solve for x
    x = 13,095,310,473.41/186,941.49
  6. Step 6: Final answer
    x = 70,050.32

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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.