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Finding the Fourth Proportional to 190,707.70, 286,063.71 and 57,589.06

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Solution

The fourth proportional to 190,707.70, 286,063.71 and 57,589.06 is: 86,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,707.70 : 286,063.71 = 57,589.06 : x
  2. Step 2: Convert to fraction form
    190,707.70/286,063.71 = 57,589.06/x
  3. Step 3: Cross multiply
    190,707.70x = 286,063.71 × 57,589.06
  4. Step 4: Simplify right side
    190,707.70x = 16,474,140,159.01
  5. Step 5: Solve for x
    x = 16,474,140,159.01/190,707.70
  6. Step 6: Final answer
    x = 86,384.24

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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.