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Finding the Fourth Proportional to 186,718.96, 280,077 and 46,476.64

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Solution

The fourth proportional to 186,718.96, 280,077 and 46,476.64 is: 69,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,718.96 : 280,077 = 46,476.64 : x
  2. Step 2: Convert to fraction form
    186,718.96/280,077 = 46,476.64/x
  3. Step 3: Cross multiply
    186,718.96x = 280,077 × 46,476.64
  4. Step 4: Simplify right side
    186,718.96x = 13,017,037,901.28
  5. Step 5: Solve for x
    x = 13,017,037,901.28/186,718.96
  6. Step 6: Final answer
    x = 69,714.60

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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.