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Finding the Fourth Proportional to 103,046.40, 144,381.60 and 103,046.40

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Solution

The fourth proportional to 103,046.40, 144,381.60 and 103,046.40 is: 144,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046.40 : 144,381.60 = 103,046.40 : x
  2. Step 2: Convert to fraction form
    103,046.40/144,381.60 = 103,046.40/x
  3. Step 3: Cross multiply
    103,046.40x = 144,381.60 × 103,046.40
  4. Step 4: Simplify right side
    103,046.40x = 14,878,004,106.24
  5. Step 5: Solve for x
    x = 14,878,004,106.24/103,046.40
  6. Step 6: Final answer
    x = 144,381.60

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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.