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Finding the Fourth Proportional to 229,165.95, 316,307.15 and 156,598.22

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Solution

The fourth proportional to 229,165.95, 316,307.15 and 156,598.22 is: 216,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.95 : 316,307.15 = 156,598.22 : x
  2. Step 2: Convert to fraction form
    229,165.95/316,307.15 = 156,598.22/x
  3. Step 3: Cross multiply
    229,165.95x = 316,307.15 × 156,598.22
  4. Step 4: Simplify right side
    229,165.95x = 49,533,134,298.75
  5. Step 5: Solve for x
    x = 49,533,134,298.75/229,165.95
  6. Step 6: Final answer
    x = 216,145.26

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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.