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Finding the Fourth Proportional to 301,056.90, 451,646.10 and 87,824.40

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Solution

The fourth proportional to 301,056.90, 451,646.10 and 87,824.40 is: 131,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,056.90 : 451,646.10 = 87,824.40 : x
  2. Step 2: Convert to fraction form
    301,056.90/451,646.10 = 87,824.40/x
  3. Step 3: Cross multiply
    301,056.90x = 451,646.10 × 87,824.40
  4. Step 4: Simplify right side
    301,056.90x = 39,665,547,744.84
  5. Step 5: Solve for x
    x = 39,665,547,744.84/301,056.90
  6. Step 6: Final answer
    x = 131,754.32

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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.