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Finding the Fourth Proportional to 165,830, 228,851.58 and 94,222.15

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Solution

The fourth proportional to 165,830, 228,851.58 and 94,222.15 is: 130,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,830 : 228,851.58 = 94,222.15 : x
  2. Step 2: Convert to fraction form
    165,830/228,851.58 = 94,222.15/x
  3. Step 3: Cross multiply
    165,830x = 228,851.58 × 94,222.15
  4. Step 4: Simplify right side
    165,830x = 21,562,887,898.50
  5. Step 5: Solve for x
    x = 21,562,887,898.50/165,830
  6. Step 6: Final answer
    x = 130,030.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.