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Finding the Fourth Proportional to 105,969.51, 146,237.80 and 58,222.74

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Solution

The fourth proportional to 105,969.51, 146,237.80 and 58,222.74 is: 80,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.51 : 146,237.80 = 58,222.74 : x
  2. Step 2: Convert to fraction form
    105,969.51/146,237.80 = 58,222.74/x
  3. Step 3: Cross multiply
    105,969.51x = 146,237.80 × 58,222.74
  4. Step 4: Simplify right side
    105,969.51x = 8,514,365,407.57
  5. Step 5: Solve for x
    x = 8,514,365,407.57/105,969.51
  6. Step 6: Final answer
    x = 80,347.31

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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.