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Finding the Fourth Proportional to 255,225.42, 382,864.32 and 97,586.46

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Solution

The fourth proportional to 255,225.42, 382,864.32 and 97,586.46 is: 146,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,225.42 : 382,864.32 = 97,586.46 : x
  2. Step 2: Convert to fraction form
    255,225.42/382,864.32 = 97,586.46/x
  3. Step 3: Cross multiply
    255,225.42x = 382,864.32 × 97,586.46
  4. Step 4: Simplify right side
    255,225.42x = 37,362,373,649.11
  5. Step 5: Solve for x
    x = 37,362,373,649.11/255,225.42
  6. Step 6: Final answer
    x = 146,389.70

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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.