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Finding the Fourth Proportional to 145,611.34, 201,005.64 and 97,892.36

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Solution

The fourth proportional to 145,611.34, 201,005.64 and 97,892.36 is: 135,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611.34 : 201,005.64 = 97,892.36 : x
  2. Step 2: Convert to fraction form
    145,611.34/201,005.64 = 97,892.36/x
  3. Step 3: Cross multiply
    145,611.34x = 201,005.64 × 97,892.36
  4. Step 4: Simplify right side
    145,611.34x = 19,676,916,472.91
  5. Step 5: Solve for x
    x = 19,676,916,472.91/145,611.34
  6. Step 6: Final answer
    x = 135,133.14

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1.5x scale

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.