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Finding the Fourth Proportional to 249,051.61, 343,677.22 and 141,647.77

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Solution

The fourth proportional to 249,051.61, 343,677.22 and 141,647.77 is: 195,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,051.61 : 343,677.22 = 141,647.77 : x
  2. Step 2: Convert to fraction form
    249,051.61/343,677.22 = 141,647.77/x
  3. Step 3: Cross multiply
    249,051.61x = 343,677.22 × 141,647.77
  4. Step 4: Simplify right side
    249,051.61x = 48,681,111,812.80
  5. Step 5: Solve for x
    x = 48,681,111,812.80/249,051.61
  6. Step 6: Final answer
    x = 195,465.96

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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.