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Finding the Fourth Proportional to 209,857.84, 289,603.86 and 114,364.55

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Solution

The fourth proportional to 209,857.84, 289,603.86 and 114,364.55 is: 157,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.84 : 289,603.86 = 114,364.55 : x
  2. Step 2: Convert to fraction form
    209,857.84/289,603.86 = 114,364.55/x
  3. Step 3: Cross multiply
    209,857.84x = 289,603.86 × 114,364.55
  4. Step 4: Simplify right side
    209,857.84x = 33,120,415,127.16
  5. Step 5: Solve for x
    x = 33,120,415,127.16/209,857.84
  6. Step 6: Final answer
    x = 157,823.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.