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Finding the Fourth Proportional to 145,876.88, 218,815.37 and 46,047.17

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Solution

The fourth proportional to 145,876.88, 218,815.37 and 46,047.17 is: 69,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,876.88 : 218,815.37 = 46,047.17 : x
  2. Step 2: Convert to fraction form
    145,876.88/218,815.37 = 46,047.17/x
  3. Step 3: Cross multiply
    145,876.88x = 218,815.37 × 46,047.17
  4. Step 4: Simplify right side
    145,876.88x = 10,075,828,656.12
  5. Step 5: Solve for x
    x = 10,075,828,656.12/145,876.88
  6. Step 6: Final answer
    x = 69,070.77

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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.