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Finding the Fourth Proportional to 102,060.40, 153,090.60 and 46,656.40

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Solution

The fourth proportional to 102,060.40, 153,090.60 and 46,656.40 is: 69,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,060.40 : 153,090.60 = 46,656.40 : x
  2. Step 2: Convert to fraction form
    102,060.40/153,090.60 = 46,656.40/x
  3. Step 3: Cross multiply
    102,060.40x = 153,090.60 × 46,656.40
  4. Step 4: Simplify right side
    102,060.40x = 7,142,656,269.84
  5. Step 5: Solve for x
    x = 7,142,656,269.84/102,060.40
  6. Step 6: Final answer
    x = 69,984.60

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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.