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Finding the Fourth Proportional to 249,052.61, 343,678.60 and 141,648.77

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Solution

The fourth proportional to 249,052.61, 343,678.60 and 141,648.77 is: 195,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,052.61 : 343,678.60 = 141,648.77 : x
  2. Step 2: Convert to fraction form
    249,052.61/343,678.60 = 141,648.77/x
  3. Step 3: Cross multiply
    249,052.61x = 343,678.60 × 141,648.77
  4. Step 4: Simplify right side
    249,052.61x = 48,681,650,965.32
  5. Step 5: Solve for x
    x = 48,681,650,965.32/249,052.61
  6. Step 6: Final answer
    x = 195,467.34

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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.