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Finding the Fourth Proportional to 145,853.16, 218,779.73 and 35,045.16

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Solution

The fourth proportional to 145,853.16, 218,779.73 and 35,045.16 is: 52,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853.16 : 218,779.73 = 35,045.16 : x
  2. Step 2: Convert to fraction form
    145,853.16/218,779.73 = 35,045.16/x
  3. Step 3: Cross multiply
    145,853.16x = 218,779.73 × 35,045.16
  4. Step 4: Simplify right side
    145,853.16x = 7,667,169,975.51
  5. Step 5: Solve for x
    x = 7,667,169,975.51/145,853.16
  6. Step 6: Final answer
    x = 52,567.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.