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Finding the Fourth Proportional to 233,315.80, 349,973.70 and 144,280.60

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Solution

The fourth proportional to 233,315.80, 349,973.70 and 144,280.60 is: 216,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,315.80 : 349,973.70 = 144,280.60 : x
  2. Step 2: Convert to fraction form
    233,315.80/349,973.70 = 144,280.60/x
  3. Step 3: Cross multiply
    233,315.80x = 349,973.70 × 144,280.60
  4. Step 4: Simplify right side
    233,315.80x = 50,494,415,420.22
  5. Step 5: Solve for x
    x = 50,494,415,420.22/233,315.80
  6. Step 6: Final answer
    x = 216,420.90

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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.