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Finding the Fourth Proportional to 375,864.10, 563,675.76 and 123,076.06

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Solution

The fourth proportional to 375,864.10, 563,675.76 and 123,076.06 is: 184,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,864.10 : 563,675.76 = 123,076.06 : x
  2. Step 2: Convert to fraction form
    375,864.10/563,675.76 = 123,076.06/x
  3. Step 3: Cross multiply
    375,864.10x = 563,675.76 × 123,076.06
  4. Step 4: Simplify right side
    375,864.10x = 69,374,990,249.12
  5. Step 5: Solve for x
    x = 69,374,990,249.12/375,864.10
  6. Step 6: Final answer
    x = 184,574.67

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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.