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Finding the Fourth Proportional to 146,106.99, 219,193.29 and 46,259.51

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Solution

The fourth proportional to 146,106.99, 219,193.29 and 46,259.51 is: 69,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,106.99 : 219,193.29 = 46,259.51 : x
  2. Step 2: Convert to fraction form
    146,106.99/219,193.29 = 46,259.51/x
  3. Step 3: Cross multiply
    146,106.99x = 219,193.29 × 46,259.51
  4. Step 4: Simplify right side
    146,106.99x = 10,139,773,094.72
  5. Step 5: Solve for x
    x = 10,139,773,094.72/146,106.99
  6. Step 6: Final answer
    x = 69,399.64

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1.5x scale

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.