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Finding the Fourth Proportional to 153,409.25, 211,523.61 and 105,034.63

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Solution

The fourth proportional to 153,409.25, 211,523.61 and 105,034.63 is: 144,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,409.25 : 211,523.61 = 105,034.63 : x
  2. Step 2: Convert to fraction form
    153,409.25/211,523.61 = 105,034.63/x
  3. Step 3: Cross multiply
    153,409.25x = 211,523.61 × 105,034.63
  4. Step 4: Simplify right side
    153,409.25x = 22,217,303,583.81
  5. Step 5: Solve for x
    x = 22,217,303,583.81/153,409.25
  6. Step 6: Final answer
    x = 144,823.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.