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Finding the Fourth Proportional to 78,643.40, 110,411.80 and 78,643.40

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Solution

The fourth proportional to 78,643.40, 110,411.80 and 78,643.40 is: 110,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643.40 : 110,411.80 = 78,643.40 : x
  2. Step 2: Convert to fraction form
    78,643.40/110,411.80 = 78,643.40/x
  3. Step 3: Cross multiply
    78,643.40x = 110,411.80 × 78,643.40
  4. Step 4: Simplify right side
    78,643.40x = 8,683,159,352.12
  5. Step 5: Solve for x
    x = 8,683,159,352.12/78,643.40
  6. Step 6: Final answer
    x = 110,411.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.