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Finding the Fourth Proportional to 107,307.60, 160,897.40 and 65,784.40

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Solution

The fourth proportional to 107,307.60, 160,897.40 and 65,784.40 is: 98,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,307.60 : 160,897.40 = 65,784.40 : x
  2. Step 2: Convert to fraction form
    107,307.60/160,897.40 = 65,784.40/x
  3. Step 3: Cross multiply
    107,307.60x = 160,897.40 × 65,784.40
  4. Step 4: Simplify right side
    107,307.60x = 10,584,538,920.56
  5. Step 5: Solve for x
    x = 10,584,538,920.56/107,307.60
  6. Step 6: Final answer
    x = 98,637.37

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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.