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Finding the Fourth Proportional to 153,315.18, 229,973.79 and 53,475

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Solution

The fourth proportional to 153,315.18, 229,973.79 and 53,475 is: 80,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,315.18 : 229,973.79 = 53,475 : x
  2. Step 2: Convert to fraction form
    153,315.18/229,973.79 = 53,475/x
  3. Step 3: Cross multiply
    153,315.18x = 229,973.79 × 53,475
  4. Step 4: Simplify right side
    153,315.18x = 12,297,848,420.25
  5. Step 5: Solve for x
    x = 12,297,848,420.25/153,315.18
  6. Step 6: Final answer
    x = 80,212.86

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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.