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Finding the Fourth Proportional to 302,119.34, 416,929.48 and 166,159.22

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Solution

The fourth proportional to 302,119.34, 416,929.48 and 166,159.22 is: 229,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,119.34 : 416,929.48 = 166,159.22 : x
  2. Step 2: Convert to fraction form
    302,119.34/416,929.48 = 166,159.22/x
  3. Step 3: Cross multiply
    302,119.34x = 416,929.48 × 166,159.22
  4. Step 4: Simplify right side
    302,119.34x = 69,276,674,691.76
  5. Step 5: Solve for x
    x = 69,276,674,691.76/302,119.34
  6. Step 6: Final answer
    x = 229,302.35

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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.