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Finding the Fourth Proportional to 145,103.36, 200,240.64 and 81,440

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Solution

The fourth proportional to 145,103.36, 200,240.64 and 81,440 is: 112,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,103.36 : 200,240.64 = 81,440 : x
  2. Step 2: Convert to fraction form
    145,103.36/200,240.64 = 81,440/x
  3. Step 3: Cross multiply
    145,103.36x = 200,240.64 × 81,440
  4. Step 4: Simplify right side
    145,103.36x = 16,307,597,721.60
  5. Step 5: Solve for x
    x = 16,307,597,721.60/145,103.36
  6. Step 6: Final answer
    x = 112,386.08

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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.