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Finding the Fourth Proportional to 145,264.54, 200,465.18 and 81,602.38

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Solution

The fourth proportional to 145,264.54, 200,465.18 and 81,602.38 is: 112,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264.54 : 200,465.18 = 81,602.38 : x
  2. Step 2: Convert to fraction form
    145,264.54/200,465.18 = 81,602.38/x
  3. Step 3: Cross multiply
    145,264.54x = 200,465.18 × 81,602.38
  4. Step 4: Simplify right side
    145,264.54x = 16,358,435,795.13
  5. Step 5: Solve for x
    x = 16,358,435,795.13/145,264.54
  6. Step 6: Final answer
    x = 112,611.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.