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Finding the Fourth Proportional to 145,611.42, 201,005.76 and 97,892.45

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Solution

The fourth proportional to 145,611.42, 201,005.76 and 97,892.45 is: 135,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611.42 : 201,005.76 = 97,892.45 : x
  2. Step 2: Convert to fraction form
    145,611.42/201,005.76 = 97,892.45/x
  3. Step 3: Cross multiply
    145,611.42x = 201,005.76 × 97,892.45
  4. Step 4: Simplify right side
    145,611.42x = 19,676,946,310.51
  5. Step 5: Solve for x
    x = 19,676,946,310.51/145,611.42
  6. Step 6: Final answer
    x = 135,133.26

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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.