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Finding the Fourth Proportional to 249,952, 374,979.84 and 102,208

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Solution

The fourth proportional to 249,952, 374,979.84 and 102,208 is: 153,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,952 : 374,979.84 = 102,208 : x
  2. Step 2: Convert to fraction form
    249,952/374,979.84 = 102,208/x
  3. Step 3: Cross multiply
    249,952x = 374,979.84 × 102,208
  4. Step 4: Simplify right side
    249,952x = 38,325,939,486.72
  5. Step 5: Solve for x
    x = 38,325,939,486.72/249,952
  6. Step 6: Final answer
    x = 153,333.20

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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.