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Finding the Fourth Proportional to 153,143.34, 229,715.02 and 47,970.50

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Solution

The fourth proportional to 153,143.34, 229,715.02 and 47,970.50 is: 71,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,143.34 : 229,715.02 = 47,970.50 : x
  2. Step 2: Convert to fraction form
    153,143.34/229,715.02 = 47,970.50/x
  3. Step 3: Cross multiply
    153,143.34x = 229,715.02 × 47,970.50
  4. Step 4: Simplify right side
    153,143.34x = 11,019,544,366.91
  5. Step 5: Solve for x
    x = 11,019,544,366.91/153,143.34
  6. Step 6: Final answer
    x = 71,955.75

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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.