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Finding the Fourth Proportional to 287,130.30, 430,501.05 and 152,216.70

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Solution

The fourth proportional to 287,130.30, 430,501.05 and 152,216.70 is: 228,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,130.30 : 430,501.05 = 152,216.70 : x
  2. Step 2: Convert to fraction form
    287,130.30/430,501.05 = 152,216.70/x
  3. Step 3: Cross multiply
    287,130.30x = 430,501.05 × 152,216.70
  4. Step 4: Simplify right side
    287,130.30x = 65,529,449,177.54
  5. Step 5: Solve for x
    x = 65,529,449,177.54/287,130.30
  6. Step 6: Final answer
    x = 228,221.99

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