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Finding the Fourth Proportional to 151,214.94, 208,674.98 and 83,230.47

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Solution

The fourth proportional to 151,214.94, 208,674.98 and 83,230.47 is: 114,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,214.94 : 208,674.98 = 83,230.47 : x
  2. Step 2: Convert to fraction form
    151,214.94/208,674.98 = 83,230.47/x
  3. Step 3: Cross multiply
    151,214.94x = 208,674.98 × 83,230.47
  4. Step 4: Simplify right side
    151,214.94x = 17,368,116,246.49
  5. Step 5: Solve for x
    x = 17,368,116,246.49/151,214.94
  6. Step 6: Final answer
    x = 114,857.14

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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.