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Finding the Fourth Proportional to 106,775.19, 147,355.53 and 59,032.98

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Solution

The fourth proportional to 106,775.19, 147,355.53 and 59,032.98 is: 81,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,775.19 : 147,355.53 = 59,032.98 : x
  2. Step 2: Convert to fraction form
    106,775.19/147,355.53 = 59,032.98/x
  3. Step 3: Cross multiply
    106,775.19x = 147,355.53 × 59,032.98
  4. Step 4: Simplify right side
    106,775.19x = 8,698,836,055.38
  5. Step 5: Solve for x
    x = 8,698,836,055.38/106,775.19
  6. Step 6: Final answer
    x = 81,468.70

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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.