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Finding the Fourth Proportional to 208,446.16, 311,159.90 and 183,223.84

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Solution

The fourth proportional to 208,446.16, 311,159.90 and 183,223.84 is: 273,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,446.16 : 311,159.90 = 183,223.84 : x
  2. Step 2: Convert to fraction form
    208,446.16/311,159.90 = 183,223.84/x
  3. Step 3: Cross multiply
    208,446.16x = 311,159.90 × 183,223.84
  4. Step 4: Simplify right side
    208,446.16x = 57,011,911,732.02
  5. Step 5: Solve for x
    x = 57,011,911,732.02/208,446.16
  6. Step 6: Final answer
    x = 273,509.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.