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Finding the Fourth Proportional to 140,466.58, 210,655.95 and 46,950.46

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Solution

The fourth proportional to 140,466.58, 210,655.95 and 46,950.46 is: 70,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,466.58 : 210,655.95 = 46,950.46 : x
  2. Step 2: Convert to fraction form
    140,466.58/210,655.95 = 46,950.46/x
  3. Step 3: Cross multiply
    140,466.58x = 210,655.95 × 46,950.46
  4. Step 4: Simplify right side
    140,466.58x = 9,890,393,754.24
  5. Step 5: Solve for x
    x = 9,890,393,754.24/140,466.58
  6. Step 6: Final answer
    x = 70,411.01

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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.