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Finding the Fourth Proportional to 102,655.10, 143,924.50 and 102,655.10

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Solution

The fourth proportional to 102,655.10, 143,924.50 and 102,655.10 is: 143,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,655.10 : 143,924.50 = 102,655.10 : x
  2. Step 2: Convert to fraction form
    102,655.10/143,924.50 = 102,655.10/x
  3. Step 3: Cross multiply
    102,655.10x = 143,924.50 × 102,655.10
  4. Step 4: Simplify right side
    102,655.10x = 14,774,583,939.95
  5. Step 5: Solve for x
    x = 14,774,583,939.95/102,655.10
  6. Step 6: Final answer
    x = 143,924.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.