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Finding the Fourth Proportional to 201,693.48, 302,541.93 and 57,598.94

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Solution

The fourth proportional to 201,693.48, 302,541.93 and 57,598.94 is: 86,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,693.48 : 302,541.93 = 57,598.94 : x
  2. Step 2: Convert to fraction form
    201,693.48/302,541.93 = 57,598.94/x
  3. Step 3: Cross multiply
    201,693.48x = 302,541.93 × 57,598.94
  4. Step 4: Simplify right side
    201,693.48x = 17,426,092,960.84
  5. Step 5: Solve for x
    x = 17,426,092,960.84/201,693.48
  6. Step 6: Final answer
    x = 86,398.89

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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.