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Finding the Fourth Proportional to 301,649.16, 452,475.08 and 101,970.60

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Solution

The fourth proportional to 301,649.16, 452,475.08 and 101,970.60 is: 152,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,649.16 : 452,475.08 = 101,970.60 : x
  2. Step 2: Convert to fraction form
    301,649.16/452,475.08 = 101,970.60/x
  3. Step 3: Cross multiply
    301,649.16x = 452,475.08 × 101,970.60
  4. Step 4: Simplify right side
    301,649.16x = 46,139,155,392.65
  5. Step 5: Solve for x
    x = 46,139,155,392.65/301,649.16
  6. Step 6: Final answer
    x = 152,956.35

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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.