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Finding the Fourth Proportional to 346,041.72, 519,139.48 and 106,188.98

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Solution

The fourth proportional to 346,041.72, 519,139.48 and 106,188.98 is: 159,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,041.72 : 519,139.48 = 106,188.98 : x
  2. Step 2: Convert to fraction form
    346,041.72/519,139.48 = 106,188.98/x
  3. Step 3: Cross multiply
    346,041.72x = 519,139.48 × 106,188.98
  4. Step 4: Simplify right side
    346,041.72x = 55,126,891,858.93
  5. Step 5: Solve for x
    x = 55,126,891,858.93/346,041.72
  6. Step 6: Final answer
    x = 159,307.07

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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.