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Finding the Fourth Proportional to 170,707.49, 235,670.69 and 102,741.14

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Solution

The fourth proportional to 170,707.49, 235,670.69 and 102,741.14 is: 141,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,707.49 : 235,670.69 = 102,741.14 : x
  2. Step 2: Convert to fraction form
    170,707.49/235,670.69 = 102,741.14/x
  3. Step 3: Cross multiply
    170,707.49x = 235,670.69 × 102,741.14
  4. Step 4: Simplify right side
    170,707.49x = 24,213,075,430.66
  5. Step 5: Solve for x
    x = 24,213,075,430.66/170,707.49
  6. Step 6: Final answer
    x = 141,839.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.