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Finding the Fourth Proportional to 140,319.84, 210,411.54 and 46,794

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Solution

The fourth proportional to 140,319.84, 210,411.54 and 46,794 is: 70,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,319.84 : 210,411.54 = 46,794 : x
  2. Step 2: Convert to fraction form
    140,319.84/210,411.54 = 46,794/x
  3. Step 3: Cross multiply
    140,319.84x = 210,411.54 × 46,794
  4. Step 4: Simplify right side
    140,319.84x = 9,845,997,602.76
  5. Step 5: Solve for x
    x = 9,845,997,602.76/140,319.84
  6. Step 6: Final answer
    x = 70,168.25

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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.