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Finding the Fourth Proportional to 228,417.00, 315,110.86 and 147,870.50

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Solution

The fourth proportional to 228,417.00, 315,110.86 and 147,870.50 is: 203,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,417.00 : 315,110.86 = 147,870.50 : x
  2. Step 2: Convert to fraction form
    228,417.00/315,110.86 = 147,870.50/x
  3. Step 3: Cross multiply
    228,417.00x = 315,110.86 × 147,870.50
  4. Step 4: Simplify right side
    228,417.00x = 46,595,598,478.40
  5. Step 5: Solve for x
    x = 46,595,598,478.40/228,417.00
  6. Step 6: Final answer
    x = 203,993.57

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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.