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Finding the Fourth Proportional to 186,671.80, 280,007.16 and 46,430.42

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Solution

The fourth proportional to 186,671.80, 280,007.16 and 46,430.42 is: 69,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,671.80 : 280,007.16 = 46,430.42 : x
  2. Step 2: Convert to fraction form
    186,671.80/280,007.16 = 46,430.42/x
  3. Step 3: Cross multiply
    186,671.80x = 280,007.16 × 46,430.42
  4. Step 4: Simplify right side
    186,671.80x = 13,000,850,041.81
  5. Step 5: Solve for x
    x = 13,000,850,041.81/186,671.80
  6. Step 6: Final answer
    x = 69,645.50

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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.