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Finding the Fourth Proportional to 286,442.16, 429,664.41 and 96,903.96

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Solution

The fourth proportional to 286,442.16, 429,664.41 and 96,903.96 is: 145,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,442.16 : 429,664.41 = 96,903.96 : x
  2. Step 2: Convert to fraction form
    286,442.16/429,664.41 = 96,903.96/x
  3. Step 3: Cross multiply
    286,442.16x = 429,664.41 × 96,903.96
  4. Step 4: Simplify right side
    286,442.16x = 41,636,182,800.06
  5. Step 5: Solve for x
    x = 41,636,182,800.06/286,442.16
  6. Step 6: Final answer
    x = 145,356.34

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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.