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Finding the Fourth Proportional to 180,468.68, 249,047.34 and 97,682.64

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Solution

The fourth proportional to 180,468.68, 249,047.34 and 97,682.64 is: 134,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468.68 : 249,047.34 = 97,682.64 : x
  2. Step 2: Convert to fraction form
    180,468.68/249,047.34 = 97,682.64/x
  3. Step 3: Cross multiply
    180,468.68x = 249,047.34 × 97,682.64
  4. Step 4: Simplify right side
    180,468.68x = 24,327,601,656.18
  5. Step 5: Solve for x
    x = 24,327,601,656.18/180,468.68
  6. Step 6: Final answer
    x = 134,802.35

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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.