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Finding the Fourth Proportional to 301,794.86, 452,905 and 141,878.08

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Solution

The fourth proportional to 301,794.86, 452,905 and 141,878.08 is: 212,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,794.86 : 452,905 = 141,878.08 : x
  2. Step 2: Convert to fraction form
    301,794.86/452,905 = 141,878.08/x
  3. Step 3: Cross multiply
    301,794.86x = 452,905 × 141,878.08
  4. Step 4: Simplify right side
    301,794.86x = 64,257,291,822.40
  5. Step 5: Solve for x
    x = 64,257,291,822.40/301,794.86
  6. Step 6: Final answer
    x = 212,917.12

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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.