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Finding the Fourth Proportional to 153,381.69, 230,095.76 and 48,190.77

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Solution

The fourth proportional to 153,381.69, 230,095.76 and 48,190.77 is: 72,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,381.69 : 230,095.76 = 48,190.77 : x
  2. Step 2: Convert to fraction form
    153,381.69/230,095.76 = 48,190.77/x
  3. Step 3: Cross multiply
    153,381.69x = 230,095.76 × 48,190.77
  4. Step 4: Simplify right side
    153,381.69x = 11,088,491,607.18
  5. Step 5: Solve for x
    x = 11,088,491,607.18/153,381.69
  6. Step 6: Final answer
    x = 72,293.45

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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.