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Finding the Fourth Proportional to 140,341.84, 210,444.52 and 46,816

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Solution

The fourth proportional to 140,341.84, 210,444.52 and 46,816 is: 70,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,341.84 : 210,444.52 = 46,816 : x
  2. Step 2: Convert to fraction form
    140,341.84/210,444.52 = 46,816/x
  3. Step 3: Cross multiply
    140,341.84x = 210,444.52 × 46,816
  4. Step 4: Simplify right side
    140,341.84x = 9,852,170,648.32
  5. Step 5: Solve for x
    x = 9,852,170,648.32/140,341.84
  6. Step 6: Final answer
    x = 70,201.24

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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.