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Finding the Fourth Proportional to 201,457.40, 302,186.10 and 83,089.40

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Solution

The fourth proportional to 201,457.40, 302,186.10 and 83,089.40 is: 124,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,457.40 : 302,186.10 = 83,089.40 : x
  2. Step 2: Convert to fraction form
    201,457.40/302,186.10 = 83,089.40/x
  3. Step 3: Cross multiply
    201,457.40x = 302,186.10 × 83,089.40
  4. Step 4: Simplify right side
    201,457.40x = 25,108,461,737.34
  5. Step 5: Solve for x
    x = 25,108,461,737.34/201,457.40
  6. Step 6: Final answer
    x = 124,634.10

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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.