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Finding the Fourth Proportional to 145,893.80, 201,499.52 and 98,064.11

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Solution

The fourth proportional to 145,893.80, 201,499.52 and 98,064.11 is: 135,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.80 : 201,499.52 = 98,064.11 : x
  2. Step 2: Convert to fraction form
    145,893.80/201,499.52 = 98,064.11/x
  3. Step 3: Cross multiply
    145,893.80x = 201,499.52 × 98,064.11
  4. Step 4: Simplify right side
    145,893.80x = 19,759,871,094.23
  5. Step 5: Solve for x
    x = 19,759,871,094.23/145,893.80
  6. Step 6: Final answer
    x = 135,440.10

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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.