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Finding the Fourth Proportional to 233,510.61, 322,245.23 and 135,412.86

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Solution

The fourth proportional to 233,510.61, 322,245.23 and 135,412.86 is: 186,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,510.61 : 322,245.23 = 135,412.86 : x
  2. Step 2: Convert to fraction form
    233,510.61/322,245.23 = 135,412.86/x
  3. Step 3: Cross multiply
    233,510.61x = 322,245.23 × 135,412.86
  4. Step 4: Simplify right side
    233,510.61x = 43,636,147,538.59
  5. Step 5: Solve for x
    x = 43,636,147,538.59/233,510.61
  6. Step 6: Final answer
    x = 186,870.08

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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.