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Finding the Fourth Proportional to 155,210.69, 232,859.01 and 61,782.05

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Solution

The fourth proportional to 155,210.69, 232,859.01 and 61,782.05 is: 92,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,210.69 : 232,859.01 = 61,782.05 : x
  2. Step 2: Convert to fraction form
    155,210.69/232,859.01 = 61,782.05/x
  3. Step 3: Cross multiply
    155,210.69x = 232,859.01 × 61,782.05
  4. Step 4: Simplify right side
    155,210.69x = 14,386,506,998.77
  5. Step 5: Solve for x
    x = 14,386,506,998.77/155,210.69
  6. Step 6: Final answer
    x = 92,690.18

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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.