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Finding the Fourth Proportional to 140,666.36, 210,897.47 and 65,744.60

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Solution

The fourth proportional to 140,666.36, 210,897.47 and 65,744.60 is: 98,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,666.36 : 210,897.47 = 65,744.60 : x
  2. Step 2: Convert to fraction form
    140,666.36/210,897.47 = 65,744.60/x
  3. Step 3: Cross multiply
    140,666.36x = 210,897.47 × 65,744.60
  4. Step 4: Simplify right side
    140,666.36x = 13,865,368,916.04
  5. Step 5: Solve for x
    x = 13,865,368,916.04/140,666.36
  6. Step 6: Final answer
    x = 98,569.19

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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.