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Finding the Fourth Proportional to 277,338.16, 416,061.18 and 106,547.43

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Solution

The fourth proportional to 277,338.16, 416,061.18 and 106,547.43 is: 159,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,338.16 : 416,061.18 = 106,547.43 : x
  2. Step 2: Convert to fraction form
    277,338.16/416,061.18 = 106,547.43/x
  3. Step 3: Cross multiply
    277,338.16x = 416,061.18 × 106,547.43
  4. Step 4: Simplify right side
    277,338.16x = 44,330,249,451.77
  5. Step 5: Solve for x
    x = 44,330,249,451.77/277,338.16
  6. Step 6: Final answer
    x = 159,841.87

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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.