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Finding the Fourth Proportional to 265,965.32, 367,031.25 and 145,106.64

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Solution

The fourth proportional to 265,965.32, 367,031.25 and 145,106.64 is: 200,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,965.32 : 367,031.25 = 145,106.64 : x
  2. Step 2: Convert to fraction form
    265,965.32/367,031.25 = 145,106.64/x
  3. Step 3: Cross multiply
    265,965.32x = 367,031.25 × 145,106.64
  4. Step 4: Simplify right side
    265,965.32x = 53,258,671,462.50
  5. Step 5: Solve for x
    x = 53,258,671,462.50/265,965.32
  6. Step 6: Final answer
    x = 200,246.67

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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.