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Finding the Fourth Proportional to 227,603.36, 314,017.72 and 147,078.32

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Solution

The fourth proportional to 227,603.36, 314,017.72 and 147,078.32 is: 202,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,603.36 : 314,017.72 = 147,078.32 : x
  2. Step 2: Convert to fraction form
    227,603.36/314,017.72 = 147,078.32/x
  3. Step 3: Cross multiply
    227,603.36x = 314,017.72 × 147,078.32
  4. Step 4: Simplify right side
    227,603.36x = 46,185,198,707.83
  5. Step 5: Solve for x
    x = 46,185,198,707.83/227,603.36
  6. Step 6: Final answer
    x = 202,919.67

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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.