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Finding the Fourth Proportional to 170,807, 235,776.56 and 102,827.13

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Solution

The fourth proportional to 170,807, 235,776.56 and 102,827.13 is: 141,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,807 : 235,776.56 = 102,827.13 : x
  2. Step 2: Convert to fraction form
    170,807/235,776.56 = 102,827.13/x
  3. Step 3: Cross multiply
    170,807x = 235,776.56 × 102,827.13
  4. Step 4: Simplify right side
    170,807x = 24,244,226,986.07
  5. Step 5: Solve for x
    x = 24,244,226,986.07/170,807
  6. Step 6: Final answer
    x = 141,939.31

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1.5x scale

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.