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Finding the Fourth Proportional to 190,886.34, 286,329.42 and 57,763.56

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Solution

The fourth proportional to 190,886.34, 286,329.42 and 57,763.56 is: 86,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,886.34 : 286,329.42 = 57,763.56 : x
  2. Step 2: Convert to fraction form
    190,886.34/286,329.42 = 57,763.56/x
  3. Step 3: Cross multiply
    190,886.34x = 286,329.42 × 57,763.56
  4. Step 4: Simplify right side
    190,886.34x = 16,539,406,631.94
  5. Step 5: Solve for x
    x = 16,539,406,631.94/190,886.34
  6. Step 6: Final answer
    x = 86,645.31

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1.5x scale

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.