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Finding the Fourth Proportional to 255,298.77, 382,834.98 and 97,416.81

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Solution

The fourth proportional to 255,298.77, 382,834.98 and 97,416.81 is: 146,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,298.77 : 382,834.98 = 97,416.81 : x
  2. Step 2: Convert to fraction form
    255,298.77/382,834.98 = 97,416.81/x
  3. Step 3: Cross multiply
    255,298.77x = 382,834.98 × 97,416.81
  4. Step 4: Simplify right side
    255,298.77x = 37,294,562,508.01
  5. Step 5: Solve for x
    x = 37,294,562,508.01/255,298.77
  6. Step 6: Final answer
    x = 146,082.03

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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.