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Finding the Fourth Proportional to 180,045.80, 270,097.74 and 55,386.68

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Solution

The fourth proportional to 180,045.80, 270,097.74 and 55,386.68 is: 83,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,045.80 : 270,097.74 = 55,386.68 : x
  2. Step 2: Convert to fraction form
    180,045.80/270,097.74 = 55,386.68/x
  3. Step 3: Cross multiply
    180,045.80x = 270,097.74 × 55,386.68
  4. Step 4: Simplify right side
    180,045.80x = 14,959,817,094.10
  5. Step 5: Solve for x
    x = 14,959,817,094.10/180,045.80
  6. Step 6: Final answer
    x = 83,088.95

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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.