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Finding the Fourth Proportional to 180,307.94, 249,079.47 and 164,148.26

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Solution

The fourth proportional to 180,307.94, 249,079.47 and 164,148.26 is: 226,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,307.94 : 249,079.47 = 164,148.26 : x
  2. Step 2: Convert to fraction form
    180,307.94/249,079.47 = 164,148.26/x
  3. Step 3: Cross multiply
    180,307.94x = 249,079.47 × 164,148.26
  4. Step 4: Simplify right side
    180,307.94x = 40,885,961,602.22
  5. Step 5: Solve for x
    x = 40,885,961,602.22/180,307.94
  6. Step 6: Final answer
    x = 226,756.30

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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.