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Finding the Fourth Proportional to 186,758.16, 280,166.40 and 62,070

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Solution

The fourth proportional to 186,758.16, 280,166.40 and 62,070 is: 93,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,758.16 : 280,166.40 = 62,070 : x
  2. Step 2: Convert to fraction form
    186,758.16/280,166.40 = 62,070/x
  3. Step 3: Cross multiply
    186,758.16x = 280,166.40 × 62,070
  4. Step 4: Simplify right side
    186,758.16x = 17,389,928,448
  5. Step 5: Solve for x
    x = 17,389,928,448/186,758.16
  6. Step 6: Final answer
    x = 93,114.69

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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.