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Finding the Fourth Proportional to 145,542.63, 200,848.53 and 81,880.50

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Solution

The fourth proportional to 145,542.63, 200,848.53 and 81,880.50 is: 112,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,542.63 : 200,848.53 = 81,880.50 : x
  2. Step 2: Convert to fraction form
    145,542.63/200,848.53 = 81,880.50/x
  3. Step 3: Cross multiply
    145,542.63x = 200,848.53 × 81,880.50
  4. Step 4: Simplify right side
    145,542.63x = 16,445,578,060.67
  5. Step 5: Solve for x
    x = 16,445,578,060.67/145,542.63
  6. Step 6: Final answer
    x = 112,994.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.