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Finding the Fourth Proportional to 208,358.03, 312,541.63 and 144,253.01

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Solution

The fourth proportional to 208,358.03, 312,541.63 and 144,253.01 is: 216,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,358.03 : 312,541.63 = 144,253.01 : x
  2. Step 2: Convert to fraction form
    208,358.03/312,541.63 = 144,253.01/x
  3. Step 3: Cross multiply
    208,358.03x = 312,541.63 × 144,253.01
  4. Step 4: Simplify right side
    208,358.03x = 45,085,070,877.81
  5. Step 5: Solve for x
    x = 45,085,070,877.81/208,358.03
  6. Step 6: Final answer
    x = 216,382.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.