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Finding the Fourth Proportional to 107,470.59, 148,325.77 and 77,355.60

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Solution

The fourth proportional to 107,470.59, 148,325.77 and 77,355.60 is: 106,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,470.59 : 148,325.77 = 77,355.60 : x
  2. Step 2: Convert to fraction form
    107,470.59/148,325.77 = 77,355.60/x
  3. Step 3: Cross multiply
    107,470.59x = 148,325.77 × 77,355.60
  4. Step 4: Simplify right side
    107,470.59x = 11,473,828,547.03
  5. Step 5: Solve for x
    x = 11,473,828,547.03/107,470.59
  6. Step 6: Final answer
    x = 106,762.50

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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.