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Finding the Fourth Proportional to 106,354.95, 146,767.93 and 57,957.30

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Solution

The fourth proportional to 106,354.95, 146,767.93 and 57,957.30 is: 79,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,354.95 : 146,767.93 = 57,957.30 : x
  2. Step 2: Convert to fraction form
    106,354.95/146,767.93 = 57,957.30/x
  3. Step 3: Cross multiply
    106,354.95x = 146,767.93 × 57,957.30
  4. Step 4: Simplify right side
    106,354.95x = 8,506,273,130.51
  5. Step 5: Solve for x
    x = 8,506,273,130.51/106,354.95
  6. Step 6: Final answer
    x = 79,980.04

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1.5x scale

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.