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Finding the Fourth Proportional to 107,459.64, 148,307.94 and 65,018.52

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Solution

The fourth proportional to 107,459.64, 148,307.94 and 65,018.52 is: 89,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,459.64 : 148,307.94 = 65,018.52 : x
  2. Step 2: Convert to fraction form
    107,459.64/148,307.94 = 65,018.52/x
  3. Step 3: Cross multiply
    107,459.64x = 148,307.94 × 65,018.52
  4. Step 4: Simplify right side
    107,459.64x = 9,642,762,763.05
  5. Step 5: Solve for x
    x = 9,642,762,763.05/107,459.64
  6. Step 6: Final answer
    x = 89,733.81

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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.