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Finding the Fourth Proportional to 186,097.94, 256,814.44 and 101,216.42

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Solution

The fourth proportional to 186,097.94, 256,814.44 and 101,216.42 is: 139,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,097.94 : 256,814.44 = 101,216.42 : x
  2. Step 2: Convert to fraction form
    186,097.94/256,814.44 = 101,216.42/x
  3. Step 3: Cross multiply
    186,097.94x = 256,814.44 × 101,216.42
  4. Step 4: Simplify right side
    186,097.94x = 25,993,838,221.10
  5. Step 5: Solve for x
    x = 25,993,838,221.10/186,097.94
  6. Step 6: Final answer
    x = 139,678.27

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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.