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Finding the Fourth Proportional to 140,802.96, 211,182.40 and 46,032.40

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Solution

The fourth proportional to 140,802.96, 211,182.40 and 46,032.40 is: 69,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,802.96 : 211,182.40 = 46,032.40 : x
  2. Step 2: Convert to fraction form
    140,802.96/211,182.40 = 46,032.40/x
  3. Step 3: Cross multiply
    140,802.96x = 211,182.40 × 46,032.40
  4. Step 4: Simplify right side
    140,802.96x = 9,721,232,709.76
  5. Step 5: Solve for x
    x = 9,721,232,709.76/140,802.96
  6. Step 6: Final answer
    x = 69,041.39

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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.