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Finding the Fourth Proportional to 145,703.38, 201,085.06 and 85,270.42

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Solution

The fourth proportional to 145,703.38, 201,085.06 and 85,270.42 is: 117,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,703.38 : 201,085.06 = 85,270.42 : x
  2. Step 2: Convert to fraction form
    145,703.38/201,085.06 = 85,270.42/x
  3. Step 3: Cross multiply
    145,703.38x = 201,085.06 × 85,270.42
  4. Step 4: Simplify right side
    145,703.38x = 17,146,607,521.93
  5. Step 5: Solve for x
    x = 17,146,607,521.93/145,703.38
  6. Step 6: Final answer
    x = 117,681.60

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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.