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Finding the Fourth Proportional to 105,114.04, 157,714.80 and 63,075.04

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Solution

The fourth proportional to 105,114.04, 157,714.80 and 63,075.04 is: 94,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.04 : 157,714.80 = 63,075.04 : x
  2. Step 2: Convert to fraction form
    105,114.04/157,714.80 = 63,075.04/x
  3. Step 3: Cross multiply
    105,114.04x = 157,714.80 × 63,075.04
  4. Step 4: Simplify right side
    105,114.04x = 9,947,867,318.59
  5. Step 5: Solve for x
    x = 9,947,867,318.59/105,114.04
  6. Step 6: Final answer
    x = 94,638.81

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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.