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Finding the Fourth Proportional to 145,461, 200,738.61 and 95,160

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Solution

The fourth proportional to 145,461, 200,738.61 and 95,160 is: 131,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,461 : 200,738.61 = 95,160 : x
  2. Step 2: Convert to fraction form
    145,461/200,738.61 = 95,160/x
  3. Step 3: Cross multiply
    145,461x = 200,738.61 × 95,160
  4. Step 4: Simplify right side
    145,461x = 19,102,286,127.60
  5. Step 5: Solve for x
    x = 19,102,286,127.60/145,461
  6. Step 6: Final answer
    x = 131,322.39

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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.