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Finding the Fourth Proportional to 230,666.24, 318,319.45 and 130,064.24

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Solution

The fourth proportional to 230,666.24, 318,319.45 and 130,064.24 is: 179,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,666.24 : 318,319.45 = 130,064.24 : x
  2. Step 2: Convert to fraction form
    230,666.24/318,319.45 = 130,064.24/x
  3. Step 3: Cross multiply
    230,666.24x = 318,319.45 × 130,064.24
  4. Step 4: Simplify right side
    230,666.24x = 41,401,975,424.71
  5. Step 5: Solve for x
    x = 41,401,975,424.71/230,666.24
  6. Step 6: Final answer
    x = 179,488.67

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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.