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Finding the Fourth Proportional to 140,486.58, 210,686.04 and 46,970.46

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Solution

The fourth proportional to 140,486.58, 210,686.04 and 46,970.46 is: 70,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,486.58 : 210,686.04 = 46,970.46 : x
  2. Step 2: Convert to fraction form
    140,486.58/210,686.04 = 46,970.46/x
  3. Step 3: Cross multiply
    140,486.58x = 210,686.04 × 46,970.46
  4. Step 4: Simplify right side
    140,486.58x = 9,896,020,214.38
  5. Step 5: Solve for x
    x = 9,896,020,214.38/140,486.58
  6. Step 6: Final answer
    x = 70,441.04

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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.