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Finding the Fourth Proportional to 189,677.85, 284,271.51 and 141,918.23

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Solution

The fourth proportional to 189,677.85, 284,271.51 and 141,918.23 is: 212,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,677.85 : 284,271.51 = 141,918.23 : x
  2. Step 2: Convert to fraction form
    189,677.85/284,271.51 = 141,918.23/x
  3. Step 3: Cross multiply
    189,677.85x = 284,271.51 × 141,918.23
  4. Step 4: Simplify right side
    189,677.85x = 40,343,308,117.27
  5. Step 5: Solve for x
    x = 40,343,308,117.27/189,677.85
  6. Step 6: Final answer
    x = 212,693.83

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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.