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Finding the Fourth Proportional to 140,522.08, 210,783.12 and 57,416

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Solution

The fourth proportional to 140,522.08, 210,783.12 and 57,416 is: 86,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,522.08 : 210,783.12 = 57,416 : x
  2. Step 2: Convert to fraction form
    140,522.08/210,783.12 = 57,416/x
  3. Step 3: Cross multiply
    140,522.08x = 210,783.12 × 57,416
  4. Step 4: Simplify right side
    140,522.08x = 12,102,323,617.92
  5. Step 5: Solve for x
    x = 12,102,323,617.92/140,522.08
  6. Step 6: Final answer
    x = 86,124.00

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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.