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Finding the Fourth Proportional to 170,458.56, 235,048.20 and 116,046

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Solution

The fourth proportional to 170,458.56, 235,048.20 and 116,046 is: 160,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,458.56 : 235,048.20 = 116,046 : x
  2. Step 2: Convert to fraction form
    170,458.56/235,048.20 = 116,046/x
  3. Step 3: Cross multiply
    170,458.56x = 235,048.20 × 116,046
  4. Step 4: Simplify right side
    170,458.56x = 27,276,403,417.20
  5. Step 5: Solve for x
    x = 27,276,403,417.20/170,458.56
  6. Step 6: Final answer
    x = 160,017.80

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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.