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Finding the Fourth Proportional to 103,411.80, 144,973.35 and 103,411.80

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Solution

The fourth proportional to 103,411.80, 144,973.35 and 103,411.80 is: 144,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411.80 : 144,973.35 = 103,411.80 : x
  2. Step 2: Convert to fraction form
    103,411.80/144,973.35 = 103,411.80/x
  3. Step 3: Cross multiply
    103,411.80x = 144,973.35 × 103,411.80
  4. Step 4: Simplify right side
    103,411.80x = 14,991,955,075.53
  5. Step 5: Solve for x
    x = 14,991,955,075.53/103,411.80
  6. Step 6: Final answer
    x = 144,973.35

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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.