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Finding the Fourth Proportional to 225,710.55, 311,580.83 and 144,145.63

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Solution

The fourth proportional to 225,710.55, 311,580.83 and 144,145.63 is: 198,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,710.55 : 311,580.83 = 144,145.63 : x
  2. Step 2: Convert to fraction form
    225,710.55/311,580.83 = 144,145.63/x
  3. Step 3: Cross multiply
    225,710.55x = 311,580.83 × 144,145.63
  4. Step 4: Simplify right side
    225,710.55x = 44,913,013,222.65
  5. Step 5: Solve for x
    x = 44,913,013,222.65/225,710.55
  6. Step 6: Final answer
    x = 198,985.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.