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Finding the Fourth Proportional to 130,734, 180,418.82 and 102,390.48

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Solution

The fourth proportional to 130,734, 180,418.82 and 102,390.48 is: 141,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,734 : 180,418.82 = 102,390.48 : x
  2. Step 2: Convert to fraction form
    130,734/180,418.82 = 102,390.48/x
  3. Step 3: Cross multiply
    130,734x = 180,418.82 × 102,390.48
  4. Step 4: Simplify right side
    130,734x = 18,473,169,068.88
  5. Step 5: Solve for x
    x = 18,473,169,068.88/130,734
  6. Step 6: Final answer
    x = 141,303.48

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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.