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Finding the Fourth Proportional to 130,678, 180,398.98 and 87,641.74

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Solution

The fourth proportional to 130,678, 180,398.98 and 87,641.74 is: 120,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,678 : 180,398.98 = 87,641.74 : x
  2. Step 2: Convert to fraction form
    130,678/180,398.98 = 87,641.74/x
  3. Step 3: Cross multiply
    130,678x = 180,398.98 × 87,641.74
  4. Step 4: Simplify right side
    130,678x = 15,810,480,501.43
  5. Step 5: Solve for x
    x = 15,810,480,501.43/130,678
  6. Step 6: Final answer
    x = 120,988.08

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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.