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Finding the Fourth Proportional to 136,782, 204,752.58 and 116,603.84

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Solution

The fourth proportional to 136,782, 204,752.58 and 116,603.84 is: 174,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,782 : 204,752.58 = 116,603.84 : x
  2. Step 2: Convert to fraction form
    136,782/204,752.58 = 116,603.84/x
  3. Step 3: Cross multiply
    136,782x = 204,752.58 × 116,603.84
  4. Step 4: Simplify right side
    136,782x = 23,874,936,054.14
  5. Step 5: Solve for x
    x = 23,874,936,054.14/136,782
  6. Step 6: Final answer
    x = 174,547.35

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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.