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Finding the Fourth Proportional to 228,065.44, 314,525.16 and 147,408.16

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Solution

The fourth proportional to 228,065.44, 314,525.16 and 147,408.16 is: 203,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,065.44 : 314,525.16 = 147,408.16 : x
  2. Step 2: Convert to fraction form
    228,065.44/314,525.16 = 147,408.16/x
  3. Step 3: Cross multiply
    228,065.44x = 314,525.16 × 147,408.16
  4. Step 4: Simplify right side
    228,065.44x = 46,363,575,109.31
  5. Step 5: Solve for x
    x = 46,363,575,109.31/228,065.44
  6. Step 6: Final answer
    x = 203,290.67

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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.