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Finding the Fourth Proportional to 145,644.48, 200,693.70 and 111,653.64

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Solution

The fourth proportional to 145,644.48, 200,693.70 and 111,653.64 is: 153,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644.48 : 200,693.70 = 111,653.64 : x
  2. Step 2: Convert to fraction form
    145,644.48/200,693.70 = 111,653.64/x
  3. Step 3: Cross multiply
    145,644.48x = 200,693.70 × 111,653.64
  4. Step 4: Simplify right side
    145,644.48x = 22,408,182,130.07
  5. Step 5: Solve for x
    x = 22,408,182,130.07/145,644.48
  6. Step 6: Final answer
    x = 153,855.35

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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.