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Finding the Fourth Proportional to 301,752.81, 452,678.21 and 102,085.35

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Solution

The fourth proportional to 301,752.81, 452,678.21 and 102,085.35 is: 153,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,752.81 : 452,678.21 = 102,085.35 : x
  2. Step 2: Convert to fraction form
    301,752.81/452,678.21 = 102,085.35/x
  3. Step 3: Cross multiply
    301,752.81x = 452,678.21 × 102,085.35
  4. Step 4: Simplify right side
    301,752.81x = 46,211,812,994.80
  5. Step 5: Solve for x
    x = 46,211,812,994.80/301,752.81
  6. Step 6: Final answer
    x = 153,144.60

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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.