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Finding the Fourth Proportional to 153,206.34, 229,809.57 and 48,033.51

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Solution

The fourth proportional to 153,206.34, 229,809.57 and 48,033.51 is: 72,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,206.34 : 229,809.57 = 48,033.51 : x
  2. Step 2: Convert to fraction form
    153,206.34/229,809.57 = 48,033.51/x
  3. Step 3: Cross multiply
    153,206.34x = 229,809.57 × 48,033.51
  4. Step 4: Simplify right side
    153,206.34x = 11,038,560,278.69
  5. Step 5: Solve for x
    x = 11,038,560,278.69/153,206.34
  6. Step 6: Final answer
    x = 72,050.28

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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.