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Finding the Fourth Proportional to 219,746.64, 303,199.56 and 148,259.28

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Solution

The fourth proportional to 219,746.64, 303,199.56 and 148,259.28 is: 204,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,746.64 : 303,199.56 = 148,259.28 : x
  2. Step 2: Convert to fraction form
    219,746.64/303,199.56 = 148,259.28/x
  3. Step 3: Cross multiply
    219,746.64x = 303,199.56 × 148,259.28
  4. Step 4: Simplify right side
    219,746.64x = 44,952,148,461.92
  5. Step 5: Solve for x
    x = 44,952,148,461.92/219,746.64
  6. Step 6: Final answer
    x = 204,563.53

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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.