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Finding the Fourth Proportional to 212,334.34, 318,547.59 and 64,586.50

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Solution

The fourth proportional to 212,334.34, 318,547.59 and 64,586.50 is: 96,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,334.34 : 318,547.59 = 64,586.50 : x
  2. Step 2: Convert to fraction form
    212,334.34/318,547.59 = 64,586.50/x
  3. Step 3: Cross multiply
    212,334.34x = 318,547.59 × 64,586.50
  4. Step 4: Simplify right side
    212,334.34x = 20,573,873,921.54
  5. Step 5: Solve for x
    x = 20,573,873,921.54/212,334.34
  6. Step 6: Final answer
    x = 96,893.77

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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.