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Finding the Fourth Proportional to 153,206.46, 229,809.76 and 48,033.63

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Solution

The fourth proportional to 153,206.46, 229,809.76 and 48,033.63 is: 72,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,206.46 : 229,809.76 = 48,033.63 : x
  2. Step 2: Convert to fraction form
    153,206.46/229,809.76 = 48,033.63/x
  3. Step 3: Cross multiply
    153,206.46x = 229,809.76 × 48,033.63
  4. Step 4: Simplify right side
    153,206.46x = 11,038,596,982.23
  5. Step 5: Solve for x
    x = 11,038,596,982.23/153,206.46
  6. Step 6: Final answer
    x = 72,050.47

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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.