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Finding the Fourth Proportional to 235,257.59, 352,688.00 and 102,037.50

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Solution

The fourth proportional to 235,257.59, 352,688.00 and 102,037.50 is: 152,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,257.59 : 352,688.00 = 102,037.50 : x
  2. Step 2: Convert to fraction form
    235,257.59/352,688.00 = 102,037.50/x
  3. Step 3: Cross multiply
    235,257.59x = 352,688.00 × 102,037.50
  4. Step 4: Simplify right side
    235,257.59x = 35,987,401,289.81
  5. Step 5: Solve for x
    x = 35,987,401,289.81/235,257.59
  6. Step 6: Final answer
    x = 152,970.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.