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Finding the Fourth Proportional to 140,830, 211,258.04 and 46,060.72

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Solution

The fourth proportional to 140,830, 211,258.04 and 46,060.72 is: 69,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,830 : 211,258.04 = 46,060.72 : x
  2. Step 2: Convert to fraction form
    140,830/211,258.04 = 46,060.72/x
  3. Step 3: Cross multiply
    140,830x = 211,258.04 × 46,060.72
  4. Step 4: Simplify right side
    140,830x = 9,730,697,428.19
  5. Step 5: Solve for x
    x = 9,730,697,428.19/140,830
  6. Step 6: Final answer
    x = 69,095.34

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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.