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Finding the Fourth Proportional to 114,729.66, 172,111.95 and 58,539.06

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Solution

The fourth proportional to 114,729.66, 172,111.95 and 58,539.06 is: 87,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729.66 : 172,111.95 = 58,539.06 : x
  2. Step 2: Convert to fraction form
    114,729.66/172,111.95 = 58,539.06/x
  3. Step 3: Cross multiply
    114,729.66x = 172,111.95 × 58,539.06
  4. Step 4: Simplify right side
    114,729.66x = 10,075,271,767.77
  5. Step 5: Solve for x
    x = 10,075,271,767.77/114,729.66
  6. Step 6: Final answer
    x = 87,817.50

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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.